Question

What is 1/2 + 3/8?

Answer 1

`7/8`

Explanation:

The solve the calculation, both numerator and denominator of `1/2` is multiplied by `4` so that its denominator is equal to `8`. And the
you can solve directly the calculation;

`=(1/2xx4/4)+3/8`

`=4/8+3/8`

`=7/8`

Answer 2

The answer is `7/8`.

Explanation:

In order to add fractions, the denominators must be the same.

`1/2+3/8`

Find the least common denominator by prime factorization.

`2 : color(red)2`

`8 : color(red)2, color(blue)2, color(blue)2`

To determine the least common denominator (LCD), multiply the common factor `color(red)2` times the other factors in blue.

LCD`=` `color(red)2xxcolor(blue)2xxcolor(blue)2=8`

Multiply `1/2` times `4/4` so that it will have a denominator of `8`.

`1/2xx4/4+3/8=`

`4/8+3/8=7/8`