Question

Common denominator of 7/8 and 4/16

Answer 1

Hello from MrBillDoesMath!

Answer:

16

Discussion:

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

Thank you,

MrB

Answer 2

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:

`\frac {7} {8}\ and\ \frac {4} {16}`

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

`8 = 2 * 2 * 2 = 2 ^ 3\\16 = 2 * 2 * 2 * 2 = 2 ^ 4 = 2 ^ 3 * 2`

So, the minimum common multiple is
`2 ^ 3 = 8`

Form 2:

You can also rewrite the first fraction as follows:

Multiplying the numerator and denominator by 2 we have:

`\frac {14} {16}`

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