Answer:
The answer is
[tex] \frac{48}{64} [/tex]
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.
[tex] \frac{6}{8} = \frac{6 \times 8}{8 \times 8} = \frac{48}{64} [/tex]
The numerator being 16 less than the denominator is:
[tex]48 - 64 = - 16[/tex]
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:
[tex] \frac{6}{8} = \frac{12}{16} = \frac{18}{24} = \frac{24}{32} = \frac{30}{40} = \frac{36}{48} = \frac{42}{56} = \frac{48}{64} [/tex]
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,
[tex] \frac{6}{8} = \frac{48}{64} [/tex]
Such that 48 - 64 = -16.
