Question

Q . Find an equivalent fraction of 75 / 90 with
( a ) numerator 15
( b ) denominator 36
( c ) numerator 35
( d ) denominator 60 ​

Answer 1

Given

• Fraction = 75/90

To find

Find an equivalent fraction of 75 / 90 with

1. numerator 15
2. denominator 36
3. numerator 35
4. denominator 60

Solution

• Numerator = 15

Let the denominator be x

➡ 75/60 = 15/x

➡ 3/4 = 15/x

➡ 3x = 60

➡ x = 60/3 = 20

Hence, required fraction is 15/20

$\rule{200}3$

• Denominator = 36

Let the numerator be y

➡ 75/60 = y/36

➡ 3/4 = y/36

➡ 4y = 36 × 3

➡ y = 36 × 3/4

➡ y = 9 × 3 = 27

Hence, required fraction is 27/36

$\rule{200}3$

• Numerator = 35

Let the denominator be z

➡ 75/60 = 35/z

➡ 3/4 = 35/z

➡ 3z = 35 × 4

➡ z = 46.6

Hence, required fraction is 35/46.6

$\rule{200}3$

• Denominator = 60

Let the numerator be a

➡ 75/60 = a/60

➡ 3/4 = a/60

➡ 3 × 60 = 4a

➡ a = 3 × 60/4

➡ a = 15 × 3 = 45

Hence, required fraction is 45/60

$\rule{200}3$