Question

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

Answer 1

Answer:

The answer is

$\frac{48}{64}$

Step-by-step 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.

$\frac{6}{8} = \frac{6 \times 8}{8 \times 8} = \frac{48}{64}$

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:

$\frac{6}{8} = \frac{12}{16} = \frac{18}{24} = \frac{24}{32} = \frac{30}{40} = \frac{36}{48} = \frac{42}{56} = \frac{48}{64}$

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,

$\frac{6}{8} = \frac{48}{64}$

Such that 48 - 64 = -16.