1. Fractions and Decimals in Simplification
Competitive-exam simplification questions frequently combine ordinary fractions, mixed fractions and decimal numbers in the same expression. The main challenge is usually not the individual arithmetic but choosing a form that makes the calculation faster and less error-prone.
In this topic, the focus is specifically on simplification techniques. Detailed theory of fractions and decimals is covered separately in Chapter 4.
Key Idea:
Before calculating, decide whether the expression will be easier in fraction form or decimal form. Do not convert unnecessarily.
Example:
Simplify: 3/4 + 0.25
Since 0.25 = 1/4,
3/4 + 1/4 = 1.
Shortcut:
Recognise common fraction-decimal equivalents instantly. This often removes several calculation steps.
2. Converting Mixed Fractions into Improper Fractions
Before multiplying or dividing mixed fractions, convert them into improper fractions.
Key Rule:
a b/c = (ac+b)/c
Example:
Convert 3 2/5 into an improper fraction.
= (3×5+2)/5
= 17/5.
Common Mistake:
Do not write 3 2/5 as (3+2)/5. The whole-number part must first be multiplied by the denominator.
3. Addition and Subtraction of Fractions
Fractions can be added or subtracted directly only when their denominators are equal. Otherwise, first convert them to equivalent fractions having a common denominator.
Example:
Simplify: 5/6 − 1/4
LCM of 6 and 4 = 12.
5/6 = 10/12
1/4 = 3/12
Therefore:
10/12 − 3/12 = 7/12.
Shortcut:
For a/b ± c/d, you may use:
(ad ± bc)/bd
when the numbers are small and cross-multiplication is quicker than finding the LCM separately.
Exam Tip:
Simplify the resulting fraction to its lowest terms before matching it with the options.
4. Multiplication of Fractions and Cross-Cancellation
To multiply fractions, multiply numerators together and denominators together. However, cancellation should preferably be done before multiplication.
Key Rule:
a/b × c/d = ac/bd
Example:
Simplify: 14/15 × 25/21
Cancel before multiplying:
14/21 = 2/3
25/15 = 5/3
Therefore:
2/3 × 5/3 = 10/9.
Shortcut:
Always search for cross-cancellation before multiplying. It keeps the numbers small and reduces calculation time.
5. Division of Fractions
Division by a fraction is converted into multiplication by its reciprocal.
Key Rule:
a/b ÷ c/d = a/b × d/c
Example:
Simplify: 5/8 ÷ 15/16
= 5/8 × 16/15
Cancel:
16/8 = 2
5/15 = 1/3
= 2/3.
Exam Trap:
Only the divisor is inverted. Do not invert both fractions.
6. Multiplication and Division of Fractions Together
Once division has been replaced by multiplication with the reciprocal, the entire product can usually be simplified through cancellation.
Example:
Simplify:
1/6 ÷ 1/9 × 2/3
= 1/6 × 9 × 2/3
= 18/18
= 1.
Exam Method:
Convert all division signs involving fractions into multiplication by reciprocals first. Then perform one combined cancellation instead of calculating each fraction separately.
7. Decimal Addition and Subtraction
For addition or subtraction of decimal numbers, decimal points must be aligned according to place value.
Example:
Simplify:
12.5 + 3.075 − 0.62
12.500
+3.075
−0.620
= 15.575 − 0.620
= 14.955.
Observation:
Adding zeros to the right of a terminating decimal does not change its value:
3.5 = 3.50 = 3.500.
Common Mistake:
Do not align decimals by the last digit. Align them by the decimal point.
8. Multiplication of Decimals
For decimal multiplication, temporarily ignore the decimal points, multiply the numbers as integers and then restore the total number of decimal places.
Example:
0.24 × 0.5
24×5 = 120.
Total decimal places = 2+1 = 3.
Therefore:
0.24×0.5 = 0.120 = 0.12.
Shortcut:
Multiplication by 0.5 means taking half.
Multiplication by 0.25 means taking one-fourth.
Multiplication by 0.125 means taking one-eighth.
9. Division of Decimals
When dividing by a decimal, shift the decimal point in both dividend and divisor by the same number of places until the divisor becomes an integer.
Example:
6.24 ÷ 0.8
Multiply both by 10:
62.4 ÷ 8
= 7.8.
Key Rule:
Multiplying both dividend and divisor by the same non-zero power of 10 does not change the quotient.
Shortcut:
Dividing by 0.5 is the same as multiplying by 2.
Dividing by 0.25 is the same as multiplying by 4.
Dividing by 0.125 is the same as multiplying by 8.
10. Useful Fraction-Decimal Equivalents
| Fraction | Decimal | Fraction | Decimal |
|---|
| 1/2 | 0.5 | 1/8 | 0.125 |
| 1/4 | 0.25 | 3/8 | 0.375 |
| 3/4 | 0.75 | 5/8 | 0.625 |
| 1/5 | 0.2 | 7/8 | 0.875 |
| 2/5 | 0.4 | 1/10 | 0.1 |
| 3/5 | 0.6 | 1/20 | 0.05 |
| 4/5 | 0.8 | 1/25 | 0.04 |
Exam Shortcut:
Memorising these common equivalents makes mixed fraction-decimal questions significantly faster.
11. Choosing Fraction Form or Decimal Form
There is no rule that every mixed expression must be converted entirely into fractions or entirely into decimals. Choose whichever representation produces simpler arithmetic.
Example:
Simplify:
3.75 + 4/5
Since 4/5 = 0.8,
3.75+0.8 = 4.55.
Decimal form is convenient here.
Example:
Simplify:
5/6 + 0.25
Since 0.25 = 1/4,
5/6 + 1/4
= 10/12 + 3/12
= 13/12.
Fraction form is more convenient here.
Exam Tip:
Do not automatically convert every fraction into a long decimal. Fractions such as 1/3, 2/3 or 5/7 are usually better retained as fractions.
12. Simplifying Mixed Fraction-Decimal Expressions
When fractions, decimals and brackets appear together, first apply BODMAS and choose convenient conversions only where required.
Example:
Simplify:
[2.5 + 3/4] − [1.2 − 1/5]
3/4 = 0.75
1/5 = 0.2
First bracket:
2.5+0.75 = 3.25
Second bracket:
1.2−0.2 = 1
Therefore:
3.25−1 = 2.25.
Exam Method:
1. Resolve brackets.
2. Convert only convenient fractions/decimals.
3. Perform multiplication and division.
4. Finish addition and subtraction.
13. Cancellation Across an Expression
Cancellation is permitted between factors in multiplication, not between terms joined by addition or subtraction.
Example:
15/28 × 14/25
Cancel 14 with 28 → 1/2
Cancel 15 with 25 → 3/5
Result:
3/(2×5) = 3/10.
Exam Trap:
In (15+5)/5, you cannot cancel the 5 from only one term unless the numerator is first factored:
(15+5)/5 = 20/5 = 4.
Cancellation applies to common factors, not isolated terms.
14. Important Calculation Shortcuts
Shortcut — Powers of 10:
×10 shifts the decimal one place right.
×100 shifts it two places right.
÷10 shifts it one place left.
÷100 shifts it two places left.
Shortcut — 0.5:
×0.5 = divide by 2
÷0.5 = multiply by 2
Shortcut — 0.25:
×0.25 = divide by 4
÷0.25 = multiply by 4
Shortcut — 0.125:
×0.125 = divide by 8
÷0.125 = multiply by 8
Exam Tip:
Look for these values before beginning long multiplication or division.
15. Common Exam Traps
Trap 1:
For fraction division, forgetting to take the reciprocal of the divisor.
Trap 2:
Adding numerators and denominators directly:
a/b + c/d ≠ (a+c)/(b+d).
Trap 3:
Misplacing the decimal point after multiplication.
Trap 4:
Shifting the decimal point only in the divisor during decimal division. The same shift must be applied to the dividend.
Trap 5:
Using cancellation across addition or subtraction instead of across factors.
Trap 6:
Converting a simple fraction into an awkward recurring decimal and making the calculation unnecessarily difficult.
16. Quick Revision
Remember:
• Convert mixed fractions to improper fractions before multiplication/division.
• Fractions with unlike denominators need a common denominator for addition/subtraction.
• Division by a fraction means multiplication by its reciprocal.
• Cancel before multiplying wherever possible.
• Align decimal points for addition/subtraction.
• Count total decimal places in multiplication.
• Make the divisor an integer in decimal division.
• Use common fraction-decimal equivalents mentally.
• Choose fraction or decimal form according to convenience.
• Cancellation works between factors, not across addition/subtraction.
17. Verified Previous-Year Questions
RRB NTPC PYQ
Fractions & Decimals
16 March 2026 · CBT-I · Shift II
Q1. Simplify: [3.75 + 4/5] − [3.5 − 8/20]
A. 1.5
B. 1.4
C. 1.35
D. 1.45
Correct Answer: D. 1.45
4/5 = 0.8 and 8/20 = 0.4.
First bracket:
3.75+0.8 = 4.55.
Second bracket:
3.5−0.4 = 3.1.
Therefore:
4.55−3.1 = 1.45.
SSC CGL PYQ
Mixed Fractions
13 September 2024 · Tier-I · Shift II
Q2. Simplify: 1 1/3 + 1 3/4 × 1 2/3 ÷ 3 1/2
A. 2 1/3
B. 2 1/6
C. 2 1/5
D. 3 1/4
Correct Answer: B. 2 1/6
Convert mixed fractions:
1 1/3 = 4/3
1 3/4 = 7/4
1 2/3 = 5/3
3 1/2 = 7/2.
Now:
4/3 + 7/4 × 5/3 ÷ 7/2
= 4/3 + 7/4 × 5/3 × 2/7
= 4/3 + 5/6
= 8/6 + 5/6
= 13/6
= 2 1/6.
SSC CGL PYQ
Fraction Division
17 September 2024 · Tier-I · Shift I
Q3. Simplify: [(1/6 ÷ 1/9 × 2/3) × 18 + 5]
A. 9
B. 23
C. 27
D. 15
Correct Answer: B. 23
1/6 ÷ 1/9
= 1/6 × 9
= 3/2.
Then:
3/2 × 2/3 = 1.
Therefore:
1×18+5
= 23.
RRB NTPC PYQ
Decimal Simplification
18 January 2017 · CBT-II · Shift II
Q4. Simplify: (1.13 + 5.884) ÷ 2.004
A. 3.44
B. 3.05
C. 2.95
D. 3.50
Correct Answer: D. 3.50
Numerator:
1.13+5.884 = 7.014.
Therefore:
7.014 ÷ 2.004.
Multiply numerator and denominator by 1000:
7014/2004.
Dividing gives:
3.50.
18. Practice MCQs
Practice MCQ
Q1. Simplify: 3/4 + 5/8
A. 1 1/8
B. 1 3/8
C. 1 5/8
D. 7/8
Correct Answer: B. 1 3/8
3/4=6/8. Therefore 6/8+5/8=11/8=1 3/8.
Practice MCQ
Q2. Simplify: 7/9 ÷ 14/27
A. 1/2
B. 3/2
C. 2/3
D. 7/6
Correct Answer: B. 3/2
7/9×27/14. Cancel 7/14=1/2 and 27/9=3. Result=3/2.
Practice MCQ
Q3. Simplify: 2.75 + 1.25 − 0.8
A. 2.8
B. 3.0
C. 3.2
D. 3.5
Correct Answer: C. 3.2
2.75+1.25=4.00. Then 4.00−0.8=3.2.
Practice MCQ
Q4. Simplify: 0.48 ÷ 0.12
A. 2
B. 3
C. 4
D. 5
Correct Answer: C. 4
0.48÷0.12 = 48÷12 = 4.
Practice MCQ
Q5. Simplify: 2 1/2 × 3/5
A. 1
B. 1 1/2
C. 2
D. 2 1/2
Correct Answer: B. 1 1/2
2 1/2=5/2. Then 5/2×3/5=3/2=1 1/2.
Practice MCQ
Q6. Simplify: 0.25 × 48 + 0.5 × 16
A. 16
B. 18
C. 20
D. 24
Correct Answer: C. 20
0.25×48=48/4=12. Also 0.5×16=8. Total=20.
Practice MCQ
Q7. Simplify: [1.5 + 3/4] ÷ 0.5
A. 3.5
B. 4
C. 4.5
D. 5
Correct Answer: C. 4.5
3/4=0.75. Bracket=2.25. Dividing by 0.5 means multiplying by 2: 2.25×2=4.5.
Practice MCQ
Q8. Simplify: 5/12 + 7/18
A. 23/36
B. 25/36
C. 29/36
D. 31/36
Correct Answer: C. 29/36
LCM=36. 5/12=15/36 and 7/18=14/36. Sum=29/36.
Practice MCQ
Q9. Simplify: 0.125 × 64 ÷ 0.25
A. 16
B. 24
C. 32
D. 40
Correct Answer: C. 32
0.125×64=64/8=8. Dividing by 0.25 means multiplying by 4. 8×4=32.
Practice MCQ
Q10. Simplify: (3/5 of 25) + (0.4 of 20)
A. 19
B. 21
C. 23
D. 25
Correct Answer: C. 23
3/5×25=15 and 0.4×20=8. Total=15+8=23.
1. Simplification में Fractions और Decimals
Competitive examinations में simplification questions में ordinary fractions, mixed fractions तथा decimals एक ही expression में दिए जा सकते हैं। मुख्य चुनौती calculation नहीं बल्कि यह तय करना होता है कि expression को fraction form में solve करना आसान होगा या decimal form में।
इस topic का focus केवल simplification techniques पर है। Fractions एवं decimals की detailed theory Chapter 4 में अलग से पढ़ी जाएगी।
मुख्य विचार:
Calculation शुरू करने से पहले तय करें कि expression को fraction form या decimal form में से किस रूप में solve करना अधिक सरल होगा।
उदाहरण:
3/4 + 0.25
0.25 = 1/4
इसलिए:
3/4 + 1/4 = 1।
Shortcut:
Common fraction-decimal equivalents याद रहने पर mixed simplification questions बहुत तेजी से solve किए जा सकते हैं।
2. Mixed Fraction को Improper Fraction में बदलना
Mixed fractions के multiplication या division से पहले उन्हें improper fractions में बदलना चाहिए।
मुख्य नियम:
a b/c = (ac+b)/c
उदाहरण:
3 2/5 को improper fraction में बदलें।
= (3×5+2)/5
= 17/5।
सामान्य गलती:
3 2/5 को (3+2)/5 न लिखें। Whole-number part को denominator से multiply करना आवश्यक है।
3. Fractions का Addition एवं Subtraction
Fractions के denominators समान हों तो numerators सीधे add या subtract किए जा सकते हैं। Denominators अलग होने पर पहले common denominator बनाना होगा।
उदाहरण:
5/6 − 1/4
6 और4 का LCM = 12।
5/6 = 10/12
1/4 = 3/12
अतः:
10/12−3/12 = 7/12।
Shortcut:
a/b ± c/d के लिए छोटे numbers में directly:
(ad ± bc)/bd
का प्रयोग किया जा सकता है।
Exam Tip:
Final fraction को options से match करने से पहले lowest terms में simplify करें।
4. Fractions का Multiplication एवं Cross-Cancellation
Fractions multiply करते समय numerators तथा denominators multiply किए जाते हैं, लेकिन multiplication से पहले cancellation करना अधिक efficient होता है।
मुख्य नियम:
a/b × c/d = ac/bd
उदाहरण:
14/15 × 25/21
पहले cancel करें:
14/21 = 2/3
25/15 = 5/3
अतः:
2/3 × 5/3 = 10/9।
Shortcut:
Multiply करने से पहले cross-cancellation देखें। इससे numbers छोटे रहते हैं और calculation तेजी से होती है।
5. Fractions का Division
किसी fraction से divide करने का अर्थ उसके reciprocal से multiply करना है।
मुख्य नियम:
a/b ÷ c/d = a/b × d/c
उदाहरण:
5/8 ÷ 15/16
= 5/8 × 16/15
16/8=2
5/15=1/3
अतः answer = 2/3।
Exam Trap:
केवल divisor को invert करें। दोनों fractions को reciprocal में बदलना गलत है।
6. Fractions में Multiplication और Division साथ हों
Division को reciprocal multiplication में बदलने के बाद पूरे expression में एक साथ cancellation करना अक्सर सबसे तेज method होता है।
उदाहरण:
1/6 ÷ 1/9 × 2/3
= 1/6 × 9 × 2/3
= 18/18
= 1।
Exam Method:
Fraction division को पहले reciprocal multiplication में बदलें और फिर पूरे product में एक साथ cancellation करें।
7. Decimals का Addition एवं Subtraction
Decimals add या subtract करते समय decimal points को place value के अनुसार एक सीध में रखना आवश्यक है।
उदाहरण:
12.5 + 3.075 − 0.62
12.500
+3.075
−0.620
= 15.575−0.620
= 14.955।
Observation:
Terminating decimal के right side में zero लगाने से value नहीं बदलती:
3.5 = 3.50 = 3.500.
सामान्य गलती:
Numbers के अंतिम digits को align न करें। Decimal points को align करें।
8. Decimals का Multiplication
Decimal multiplication में पहले decimal points ignore करके integers की तरह multiplication करें, फिर दोनों numbers के total decimal places के अनुसार decimal point लगाएँ।
उदाहरण:
0.24 × 0.5
24×5 = 120।
Total decimal places = 2+1 = 3।
अतः:
0.120 = 0.12।
Shortcut:
×0.5 = आधा करना
×0.25 = एक-चौथाई करना
×0.125 = एक-आठवाँ करना
9. Decimals का Division
Decimal divisor को integer बनाने के लिए dividend और divisor दोनों में decimal point को समान number of places shift करें।
उदाहरण:
6.24 ÷ 0.8
दोनों को 10 से multiply करें:
62.4 ÷ 8
= 7.8।
मुख्य नियम:
Dividend और divisor दोनों को समान non-zero power of 10 से multiply करने पर quotient नहीं बदलता।
Shortcut:
÷0.5 = ×2
÷0.25 = ×4
÷0.125 = ×8
10. महत्वपूर्ण Fraction-Decimal Equivalents
| Fraction | Decimal | Fraction | Decimal |
|---|
| 1/2 | 0.5 | 1/8 | 0.125 |
| 1/4 | 0.25 | 3/8 | 0.375 |
| 3/4 | 0.75 | 5/8 | 0.625 |
| 1/5 | 0.2 | 7/8 | 0.875 |
| 2/5 | 0.4 | 1/10 | 0.1 |
| 3/5 | 0.6 | 1/20 | 0.05 |
| 4/5 | 0.8 | 1/25 | 0.04 |
Exam Shortcut:
इन common equivalents को याद रखना mixed simplification questions में बहुत उपयोगी है।
11. Fraction Form या Decimal Form कैसे चुनें?
हर mixed expression को पूरी तरह fraction या पूरी तरह decimal में बदलना आवश्यक नहीं है। जो form calculation को आसान बनाए, वही चुनें।
उदाहरण:
3.75 + 4/5
4/5=0.8
अतः:
3.75+0.8 = 4.55।
यहाँ decimal form आसान है।
उदाहरण:
5/6 + 0.25
0.25=1/4
5/6+1/4
=10/12+3/12
=13/12।
यहाँ fraction form आसान है।
Exam Tip:
1/3, 2/3, 5/7 जैसे fractions को unnecessarily recurring decimals में convert न करें।
12. Mixed Fraction-Decimal Expressions
उदाहरण:
[2.5 + 3/4] − [1.2 − 1/5]
3/4 = 0.75
1/5 = 0.2
पहला bracket:
2.5+0.75 = 3.25
दूसरा bracket:
1.2−0.2 = 1
अतः:
3.25−1 = 2.25।
Exam Method:
1. Brackets solve करें।
2. केवल convenient fractions/decimals convert करें।
3. Multiplication और division करें।
4. अंत में addition और subtraction करें।
13. Expression में Cancellation
Cancellation multiplication वाले factors के बीच होता है, addition या subtraction से जुड़े terms के बीच नहीं।
उदाहरण:
15/28 × 14/25
14/28 → 1/2
15/25 → 3/5
अतः:
3/(2×5) = 3/10।
Exam Trap:
(15+5)/5 में केवल किसी एक 5 को cancel नहीं किया जा सकता।
(15+5)/5 = 20/5 = 4।
Cancellation केवल common factors के बीच होती है।
14. महत्वपूर्ण Calculation Shortcuts
Shortcut — Powers of 10:
×10 → decimal एक place right
×100 → दो places right
÷10 → एक place left
÷100 → दो places left
Shortcut — 0.5:
×0.5 = ÷2
÷0.5 = ×2
Shortcut — 0.25:
×0.25 = ÷4
÷0.25 = ×4
Shortcut — 0.125:
×0.125 = ÷8
÷0.125 = ×8
Exam Tip:
Long multiplication या division शुरू करने से पहले ऐसे shortcut values पहचानें।
15. Common Exam Traps
Trap 1:
Fraction division में divisor का reciprocal लेना भूल जाना।
Trap 2:
a/b + c/d को गलत तरीके से (a+c)/(b+d) लिखना।
Trap 3:
Decimal multiplication के बाद decimal point गलत place पर लगाना।
Trap 4:
Decimal division में केवल divisor का decimal shift करना। Dividend में भी उतने ही places shift करना आवश्यक है।
Trap 5:
Addition/subtraction के across cancellation करना।
Trap 6:
Simple fraction को unnecessary recurring decimal में बदलकर calculation कठिन बनाना।
16. Quick Revision
एक नज़र में:
• Mixed fraction को multiplication/division से पहले improper fraction में बदलें।
• Unlike denominators वाले fractions के addition/subtraction के लिए common denominator चाहिए।
• Fraction से division = उसके reciprocal से multiplication।
• Multiply करने से पहले cancellation करें।
• Decimal addition/subtraction में decimal points align करें।
• Decimal multiplication में total decimal places count करें।
• Decimal division में divisor को integer बनाएँ।
• Common fraction-decimal equivalents याद रखें।
• Calculation के अनुसार convenient form चुनें।
• Cancellation factors के बीच होती है, terms के बीच नहीं।
17. Verified Previous-Year Questions
RRB NTPC PYQ
Fractions & Decimals
16 मार्च 2026 · CBT-I · Shift II
प्रश्न 1. सरल कीजिए: [3.75 + 4/5] − [3.5 − 8/20]
A. 1.5
B. 1.4
C. 1.35
D. 1.45
सही उत्तर: D. 1.45
4/5=0.8 तथा 8/20=0.4।
पहला bracket:
3.75+0.8=4.55।
दूसरा bracket:
3.5−0.4=3.1।
अतः:
4.55−3.1=1.45।
SSC CGL PYQ
Mixed Fractions
13 सितंबर 2024 · Tier-I · Shift II
प्रश्न 2. सरल कीजिए: 1 1/3 + 1 3/4 × 1 2/3 ÷ 3 1/2
A. 2 1/3
B. 2 1/6
C. 2 1/5
D. 3 1/4
सही उत्तर: B. 2 1/6
Mixed fractions बदलें:
1 1/3=4/3
1 3/4=7/4
1 2/3=5/3
3 1/2=7/2।
अब:
4/3 + 7/4 × 5/3 × 2/7
= 4/3 + 5/6
= 8/6+5/6
= 13/6
= 2 1/6।
SSC CGL PYQ
Fraction Division
17 सितंबर 2024 · Tier-I · Shift I
प्रश्न 3. सरल कीजिए: [(1/6 ÷ 1/9 × 2/3) × 18 + 5]
A. 9
B. 23
C. 27
D. 15
सही उत्तर: B. 23
1/6 ÷ 1/9
=1/6×9
=3/2।
अब:
3/2×2/3=1।
अतः:
1×18+5=23।
RRB NTPC PYQ
Decimal Simplification
18 जनवरी 2017 · CBT-II · Shift II
प्रश्न 4. सरल कीजिए: (1.13 + 5.884) ÷ 2.004
A. 3.44
B. 3.05
C. 2.95
D. 3.50
सही उत्तर: D. 3.50
Numerator:
1.13+5.884=7.014।
अतः:
7.014÷2.004।
Numerator एवं denominator दोनों को 1000 से multiply करें:
7014/2004
= 3.50।
18. Practice MCQs
Practice MCQ
प्रश्न 1. सरल कीजिए: 3/4 + 5/8
A. 1 1/8
B. 1 3/8
C. 1 5/8
D. 7/8
सही उत्तर: B. 1 3/8
3/4=6/8। इसलिए 6/8+5/8=11/8=1 3/8।
Practice MCQ
प्रश्न 2. सरल कीजिए: 7/9 ÷ 14/27
A. 1/2
B. 3/2
C. 2/3
D. 7/6
सही उत्तर: B. 3/2
7/9×27/14। 7/14=1/2 तथा 27/9=3। Answer=3/2।
Practice MCQ
प्रश्न 3. सरल कीजिए: 2.75 + 1.25 − 0.8
A. 2.8
B. 3.0
C. 3.2
D. 3.5
सही उत्तर: C. 3.2
2.75+1.25=4.00। फिर 4.00−0.8=3.2।
Practice MCQ
प्रश्न 4. सरल कीजिए: 0.48 ÷ 0.12
A. 2
B. 3
C. 4
D. 5
सही उत्तर: C. 4
0.48÷0.12 = 48÷12 = 4।
Practice MCQ
प्रश्न 5. सरल कीजिए: 2 1/2 × 3/5
A. 1
B. 1 1/2
C. 2
D. 2 1/2
सही उत्तर: B. 1 1/2
2 1/2=5/2। 5/2×3/5=3/2=1 1/2।
Practice MCQ
प्रश्न 6. सरल कीजिए: 0.25 × 48 + 0.5 × 16
A. 16
B. 18
C. 20
D. 24
सही उत्तर: C. 20
0.25×48=12 और 0.5×16=8। Total=20।
Practice MCQ
प्रश्न 7. सरल कीजिए: [1.5 + 3/4] ÷ 0.5
A. 3.5
B. 4
C. 4.5
D. 5
सही उत्तर: C. 4.5
3/4=0.75। Bracket=2.25। 0.5 से divide करना ×2 के बराबर है। 2.25×2=4.5।
Practice MCQ
प्रश्न 8. सरल कीजिए: 5/12 + 7/18
A. 23/36
B. 25/36
C. 29/36
D. 31/36
सही उत्तर: C. 29/36
LCM=36। 5/12=15/36 तथा 7/18=14/36। Sum=29/36।
Practice MCQ
प्रश्न 9. सरल कीजिए: 0.125 × 64 ÷ 0.25
A. 16
B. 24
C. 32
D. 40
सही उत्तर: C. 32
0.125×64=64/8=8। 0.25 से divide करना ×4 के बराबर है। 8×4=32।
Practice MCQ
प्रश्न 10. सरल कीजिए: (3/5 of 25) + (0.4 of 20)
A. 19
B. 21
C. 23
D. 25
सही उत्तर: C. 23
3/5×25=15 तथा 0.4×20=8। Total=15+8=23।