Question

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

A. 10.
B. 40.
C. 16.
D. 80.

Answer 1

the answer would be B

Answer 2

Answer: Option B.

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
`(1)/(2),\ (1)/(8)\ and\ (1)/(10)` is. Therefore, this is:

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

This matches with the option B.