Express the following fractions as decimals:(i) (23/10)(ii) 25 (1/8)(i

1.	Express the following fractions as decimals:(i) (23/10)(ii) 25 (1/8)(iii) 39 (7/35)(iv) 15 (1/25)
Answer» (i) Given (23/10) Divide 23 by 10 we get (23/10) = 2.3 (ii) Given 25 (1/8) 25 (1/8) can be written as 25 (1/8) = 25 + (1/8) Consider (1/8), Now multiply both numerator and denominator by 125 to get 1000 as denominator 25 (1/8) = 25 + (1/8) = 25 + (1 × 125 /8 × 125) = 25 + (125/1000) = 25 + 0.125 = 25.125 (iii) Given 39 (7/35) First convert given mixed fraction 39 (7/35) into improper fraction 39 (7/35) = 1372/35 By dividing we get 39 (7/35) = 39.2 (iv) Given 15 (1/25) 15 (1/25) can be written as 15 (1/25) = 15 + (1/25) Consider (1/25), Now multiply both numerator and denominator by 4 to get 100 as denominator 15 (1/25) = 15 + (1/25) = 15 + (1 × 4 /25 × 4) = 15 + (4/100) = 15 + 0.04 = 15.04

Express the following fractions as decimals:(i) (23/10)(ii) 25 (1/8)(iii) 39 (7/35)(iv) 15 (1/25)

Answer»

(i) Given (23/10)

Divide 23 by 10 we get

(23/10) = 2.3

(ii) Given 25 (1/8)

25 (1/8) can be written as

25 (1/8) = 25 + (1/8)

Consider (1/8),

Now multiply both numerator and denominator by 125 to get 1000 as denominator

25 (1/8) = 25 + (1/8)

= 25 + (1 × 125 /8 × 125)

= 25 + (125/1000)

= 25 + 0.125

= 25.125

(iii) Given 39 (7/35)

First convert given mixed fraction 39 (7/35) into improper fraction

39 (7/35) = 1372/35

By dividing we get

39 (7/35) = 39.2

(iv) Given 15 (1/25)

15 (1/25) can be written as

15 (1/25) = 15 + (1/25)

Consider (1/25),

Now multiply both numerator and denominator by 4 to get 100 as denominator

15 (1/25) = 15 + (1/25)

= 15 + (1 × 4 /25 × 4)

= 15 + (4/100)

= 15 + 0.04

= 15.04