Q1 Evaluate the following :-

1) 4/3 + 7/8

Solution:-

=4/3+7/8

=32/24+21/24

=32+21/24

=53/24 (Ans)

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2) 5/12 + 1/18 - 2/9

Solution:-

5/12+1/18-2/9

=17/36−2/9

=1/4 (Ans)

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3) 7 3/4 - 3 5/6 + 7/8

Solution:-

7 3/4−3 5/6+7/8

=31/4−3 5/6+7/8

=31/4−23/6+7/8

=47/12+7/8

=115/24

=4 19/24

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Q2. Aslam can WALK 5 2/5 km in ONE hour. How many distance will he cover in 3 1/4 hours?

Solution:-

Aslam can walk in one hour = 5 2/5

So, he will cover distance in 3 1/4 hours

Ans. He will cover 7 4/5 km in 3 1/4 hours.

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Q3. Evaluate the following :-

i) 3 2/5 × 8

Solution:-

(3 2/5)(8)

=17/5(8)

=136/5

=27 1/5 (Ans)

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ii) 3 1/6 × 7 4/23

Solution:-

(3 1/6)(7 4/23)

=19/6(7 4/23)

=19/6(165/23)

=1045/46

=22 33/46 (Ans)

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iii) 3/9 of 4 7/5 kg

Solution:-

(3/9(4 7/5))(k)g

=(1 4/5)(gk)

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Q4. An ornament is made of gold and copper and weighs 52 grams. If 2/13 of it's PART it copper, FIND the weight of pure gold in it.

Solution:-

2/13 × 52 = 2/4 = 8

52 - 8 = 44

Ans. Weight of pure gold is 44 gm.

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Q5. Evaluate the following :-

i) 2 5/8 ÷ 1 1/6

Solution:-

=21/8 ÷ 1 1/6

=21/8 ÷ 7/6

=9/4

=2 1/4 (Ans)

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ii) 7/8 ÷ 5/6

Solution:-

=7/40÷6

=7/240 (Ans)

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Q6. If the cost of 5 1/2 kg of sugar is 206 1/4, then find the cost of 8 1/4 kg of sugar.

Solution:-

Rewriting the fractions into decimals

The cost of 5.5 kg of sugar is Rs. 206.25 ,

Then find the cost of 8.25 kg sugar

Find the cost of 1 kg of sugar:

5.5 kg = Rs. 206.25

1 kg = 206.25 ÷ 5.5

1 kg = Rs. 18.75

Find the cost of 8.25 kg :

1 kg = 18.85

8.25 kg = 8.25 × 18.85

8I25 kg = Rs. 154 11/16

Answer : Rs. 154 11/16

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Q7. Evaluate the following :-

i) 9.4 - 5.8147

Solution:-

=9.4−5.8147

=9.4+−5.8147

=3.5853 (Ans)

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ii) 36.36 - 28.4237 - 9.78 + 7.7

Solution:-

=7.9363−9.78+7.7

=−1.8437+7.7

=5.8563 (Ans)

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iii) 5.765 + 9.2 + 3.08

Solution:-

=14.965+3.08

=18.045 (Ans)

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iv) 15.49 + 8.3572 + 0.903 + 7.8

Solution:-

=23.8472+0.903+7.8

=24.7502+7.8

=32.5502 (Ans)

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Q8. Express the following fractions as decimals :-

i) 13/125

Ans) 0.104

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ii) 7 3/40

Ans) 7.075

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Q.9 Simplify the following :-

i) 0.79 × 32.4

Ans) 25.596

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ii) 10.05 × 1.05

Ans) 10.5525

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iii) 2.3 × 4.35

Ans) 10.005

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iv) 4.28 ÷ 0.02

Ans) 214

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v) 13.06 ÷ 0.08

Ans) 163.25

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Q10. Simplify the following expressions :-

i) 2/3 of (5 1/6 - 4 3/8)

Solution:-

=2/3(31/6−4 3/8)

=2/3(31/6−35/8)

=2/3(19/24)

=19/36

=19/36 (Ans)

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ii) (3/7 1/2) ÷ 7/8

Solution:-

=3/15/2/7/8

=2/5/7/8

=2/35/8

=1/140

=1/140 (Ans)

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iii) (4/5 + 2) (3 - 2/3)

Solution:-

=14/5(3−2/3)

=14/5(7/3)

=98/15 (Ans)

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Q11. True/False

i) The reciprocal of 1 is 0 :- False

Correct STATEMENT :-

The reciprocal of 1 is 1

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ii) To multiply a decimal number by 10, move the decimal point to the left by one place :- False

Correct Statement :-

To move a decimal number by 10, move the decimal point to the right by one place .

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Hope it helps you!!!

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