Question

What number is bigger than 5/16 by the same amount that 1 1/8 is less than 1 1/4 ?

Answer 1

Let the number be 'x'.

According to the question,

`(5)/(16)+x = 1 (1)/(4) - 1 (1)/(8)`

`(5)/(16)+x = (5)/(4) -(9)/(8)`

Since, LCM of 4 and 8 is '8'.

`(5)/(16)+x = (10-9)/(8)`

`(5)/(16)+x = (1)/(8)`

`x = (1)/(8) - (5)/(16)`

LCM of 8 and 16 is 16.

`x = (2-5)/(16)`

`x = (-3)/(16)`

Therefore,
`(-3)/(16)` is bigger than
`(5)/(16)` by the same amount that
`1(1)/(8)` is less than
`1(1)/(4)`.