Question

The least common denominator of 1/2, 1/8, and 1/10 is

Answer 1

the answer would be B

Answer 2

Answer: Option B.

Step-by-step explanation:

Descompose the denominator of each fraction into its corresponding prime factors. Then:

$2=2*1\\8=2*2*2=2^3\\10=2*5$

Now you need to choose the commons a non-commons with the highest exponent. These are: 2³, 1 and 5.

Finally you need to multiply them to get that the Least common denominator of $\frac{1}{2},\ \frac{1}{8}\ and\ \frac{1}{10}$ is. Therefore, this is:

$LCD=2^3*1*5\\LCD=40$

This matches with the option B.