Question

What fraction must be subtracted from the sum of 1/4 and 1/6 to have an average of 1/12 of these two fractions ?

Answer 1

Hi,

According to the problem given,

1 / 4 , 1 / 6 are two numbers

Their sum = 1/ 4 + 1 / 6

= ( 3 + 2 ) / 12

= 5 / 12-----( 1 )

Average of these numbers = ( 1 ) / 2

= ( 5 / 12 ) / 2

= 5 /24 --- ( 2 )

Let the fraction x to be subtracted from the

sum of 1 /4 and 1 / 6 to have an average of

1 /12 of these two fractions

( 1 ) - x = ( 2 )

5 / 12 - x = 5 / 24

5 / 12 - 5 / 24 = x

( 10 - 5 ) / 24 = x

5 / 24 = x

Therefore,

x = 5 / 24

I hope this helps you.

:)