Respuesta :

Hello from MrBillDoesMath!


Answer:

16


Discussion:

A common denominator is 16   as 7/8 can be converted to 14/16


Thank you,

MrB

For this case we have:

Form 1:

To obtain the common denominator, we must first obtain the minimum common multiple of both denominators, that is, if we have:

[tex]\frac {7} {8}\ and\ \frac {4} {16}[/tex]

We must obtain the minimum common multiple of 8 and 16, then:

[tex]8 = 2 * 2 * 2 = 2 ^ 3\\16 = 2 * 2 * 2 * 2 = 2 ^ 4 = 2 ^ 3 * 2[/tex]

So, the minimum common multiple is[tex]2 ^ 3 = 8[/tex]

Form 2:

You can also rewrite the first fraction as follows:

Multiplying the numerator and denominator by 2 we have:

[tex]\frac {14} {16}[/tex]

Therefore, the common denominator of both fractions is 16.

Answer:

Form 1: 8

Form 2: 16

Both answers are equivalent depending on what is required in the problem