2/3+4/9 of 3/5 divided by 1 2/3 x 1 1/4 - 1/3

1.	2/3+4/9 of 3/5 divided by 1 2/3 x 1 1/4 - 1/3
Answer» Answer: (i) (1 / 2 + 1 / 3) ÷ (1 / 4 – 1 / 6) The given expression can be simplified as follows (1 / 2 + 1 / 3) ÷ (1 / 4 – 1 / 6) = [(3 + 2) / 6] ÷ [(3 – 2) / 12] On further calculation, we get = (5 / 6) ÷ (1 / 12) = 5 / 6 × 12 / 1 = 5 × 2 = 10 Hence, the simplified form of the given expression is 10 (ii) (24 / 35 ÷ 6 / 7 + 5 / 9) × 3 / 4 The given expression can be simplified as follows (24 / 35 ÷ 6 / 7 + 5 / 9) × 3 / 4 = (24 / 35 × 7 / 6 + 5 / 9) × 3 / 4 = (4 / 5 + 5 / 9) × 3 / 4 By TAKING LCM, we get = [(36 + 25) / 45] × 3 / 4 = (61 / 45) × 3 / 4 We get = 61 / 60 = 1 60 1 Hence, the simplified form of the given expression is 1 60 1

Answer»

Answer:

(i) (1 / 2 + 1 / 3) ÷ (1 / 4 – 1 / 6)

The given expression can be simplified as follows

(1 / 2 + 1 / 3) ÷ (1 / 4 – 1 / 6) = [(3 + 2) / 6] ÷ [(3 – 2) / 12]

On further calculation, we get

= (5 / 6) ÷ (1 / 12)

= 5 / 6 × 12 / 1

= 5 × 2

= 10

Hence, the simplified form of the given expression is 10

(ii) (24 / 35 ÷ 6 / 7 + 5 / 9) × 3 / 4

The given expression can be simplified as follows

(24 / 35 ÷ 6 / 7 + 5 / 9) × 3 / 4 = (24 / 35 × 7 / 6 + 5 / 9) × 3 / 4

= (4 / 5 + 5 / 9) × 3 / 4

By TAKING LCM, we get

= [(36 + 25) / 45] × 3 / 4

= (61 / 45) × 3 / 4

We get

= 61 / 60

= 1

Hence, the simplified form of the given expression is

Discussion