Question

I am a fraction equivalent to 6/8 my numerator is 16 less than my denominator what fraction am i

Answer 1

The answer is

`(48)/(64)`

Explanation:

Equivalent fractions are set of fractions which have the same value when simplified.

The equivalent fraction to 6/8 whose numerator is 16 less than its denominator can be obtained through two basic methods below.

Method 1

Multiply the numerator and denominator by 8 respectively.

`(6)/(8) = (6 * 8)/(8 * 8) = (48)/(64)`

The numerator being 16 less than the denominator is:

`48 - 64 = - 16`

Method 2

Find the equivalent fraction to 6/8 whose numerator is 16 less than its denominator by continuous multiplication approach. In other words, multiply 6/8 till you arrive at an equivalent fraction whose numerator is 16 less than its denominator. Simply multiply 6/8 by 2, 3, 4, 5, 6, 7, 8. Thus:

`(6)/(8) = (12)/(16) = (18)/(24) = (24)/(32) = (30)/(40) = (36)/(48) = (42)/(56) = (48)/(64)`

The difference between the numerator and denominator of the equivalent fractions are: -2, -4, -6, -8, -10, -12, -14, -16

Hence, 48/64 is the equivalent fraction to 6/8 whose numerator and denominator difference is less than 16.

That is,

`(6)/(8) = (48)/(64)`

Such that 48 - 64 = -16.