**1. Solve the following:**

**i. (2/3) + (3/4)****ii. (3/4) - (1/2)****iii. (2/3) x (4/5)****iv. (2/3) ÷ (1/2)**

a) i.17/12, ii. 1/4, iii. 8/15, iv. 4/3

b) i. 7/2, ii. 1/4, iii. 8/15, iv. 4/3

c) i. 17/12, ii. 2/8, iii. 9/15, iv. 3/4

d) i. 17/12, ii. 1/8, iii. 7/15, iv. 4/3

**Answer:** a) i.17/12, ii. 1/4, iii. 8/15, iv. 4/3

**Explanation:** **i.** (2/3) + (3/4)

LCM of (3, 4) is 12

= (2 x 4 + 3 x 3) / 12

= (8 + 9)/12

= 17/12

**ii.** (3/4) - (1/2)

LCM of (4, 2) is 4

= (3 x 1 - 1 x 2) / 4

= (3 - 2) / 4

= 1/4

**iii.** (2/3) x (4/5)

= (2 x 4) / (3 x 5)

= 8/15

**iv.** (2/3) ÷ (1/2)

= 2/3 x 2/1(Reciprocal of 1/2)

= (2 x 2) / (3 x 1)

= 4/3

**2. Compare the fractions: 2/5 __ 3/5
**

a) >

b) <

c) =

d) ≤

**Answer: **b) <

**Explanation: **Denominators are the same. So, compare the numerator, 2 is less than 3.

So, the answer is 2/5 < 3/5

**3. Rachel took 1/2 hour to paint a table and 1/3 hour to paint a chair. How much time did she take in total?**

a) 1/2

b) 3/4

c) 5/6

d) 7/3

**Answer:** c) 5/6

**Explanation:** Time taken to paint a table = 1/2 hour

Time taken to paint a chair = 1/3 hour

Total time taken = 1/2 hour + 1/3 hour

1/2 + 1/3

L.C.M. of 2, 3 is 6.

= (1 x 3 + 1 x 2) / 6 = (3 + 2) / 6

= 5/6 hours

**4. One-half of the students in a school are girls, and 3/5 of these girls are studying in lower classes. What fraction of girls are studying in lower classes?**

a) 3/10

b) 2/5

c) 1/7

d) 1/4

**Answer:** a) 3/10

**Explanation:** Fraction of girls studying in school = 1/2

Fraction of girls studying in lower classes = 3/5 of 1/2

= 3/5 × 1/2

= (3 × 1) / (5 × 2)

= 3/10

Therefore, 3/10 of girls study in lower classes.

**5. A herd of cows gives 4 litres of milk each day. But each cow gives one-third of the total milk each day. They give 24 litres of milk in six days. How many cows are there in the herd?**

a) 1

b) 2

c) 3

d) 4

**Answer:** c) 3

**Explanation:** A herd of cows gives 4 litres of milk each day.

Each cow gives one-third of the total milk each day = 1/3 of 4

So, each cow gives 4/3 of milk each day.

Total number of cows = 4 ÷ 4/3 = 4 × 3/4 = 3

Therefore, there are 3 cows in the herd.

**1. Simplify the following: 5/8 - 2/3**

a) 1/24

b) -1/24

c) 3/2

d) 2/3

**Answer:** b) -1/24

**2. Sarah has 3/4 of pizza left. She wants to share it equally with her two friends. What fraction of the original pizza will each person get?**

a) 3/8

b) 2/3

c) 3/4

d) 5/2

**Answer:** a) 3/8

**3. A recipe calls for 3/8 cups of sugar, but you only have 1/4 cup of sugar. How much more sugar do you need?**

a) 1/2

b) 1/4

c) 1/8

d) 3/4

**Answer:** c) 1/8

**4. Maddy reads three-fifth of 75 pages of his lesson. How many more pages does he need to complete the lesson?**

a) 10

b) 20

c) 30

d) 40

**Answer:** c) 30

**5. Ellen planned to interview some applicants for a position in her office. If she scheduled 1/4 of an hour to meet each of them, how much time did she schedule for all 6 applicants?**

a) 1/2 hour

b) 1/4 hour

c) 2/5 hour

d) 3/2 hour

**Answer:** d) 3/2 hour

**6. Tom decides to go on a vacation. He can go on leave for 2/3 of a month. Assuming a month is 30 days, how many days of vacation can he have?**

a) 10

b) 20

c) 30

d) 40

**Answer:** b) 20

**7. Maria spent 1/3 of the money her grandparents gave her on an adventure book. She also spent 1/9 of the money on a bag of candy. What fraction of the payment has Maria spent?**

a) 1/9

b) 3/9

c) 4/9

d) 5/9

**Answer:** c) 4/9

**8. Jill had 3 full pans of brownies. Each pan made 8 brownies. She gave 3/8 of the brownies to her friends. How many brownies did Jill give away?**

a) 10

b) 9

c) 8

d) 7

**Answer:** b) 9

**9. Which of the following option is incorrect?**

a) 2/7 > 3/7

b) 8/7 > 2/9

c) 6/7 > 2/3

d) 2/3 > 1/3

**Answer: **a) 2/7 > 3/7

**10. At a party, out of 280 ice creams prepared, the children ate 4/7 of them. Find the number of ice creams eaten by the children.**

a) 50

b) 120

c) 145

d) 160

**Answer:** d) 160

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