Question

What is `2/3+10/15`?

Answer 1

Please see below.

Explanation:

The denominator of `2/3` is `3`

and denominator of `10/15` is `15`

We can add two fractions only if their denominators are same or common.

As a fraction `2/3` does not change when numerator and denominator are multiplied by same number,

hence to find common denominator, we will have to multiply numerator and denominator of each fraction are by a number (albeit different numbers), so that denominators become same.

This is done by identifying Least Common Multiple (LCM) of the two denominators.

Here LCM of `3` and `15` is `15` and hence we can convert both denominators tp `15`, but in second fraction, it is already so.

Hence multiplying numerator and denominator of first by `5`, we get `(2xx5)/(3xx5)=10/15`

Hence, `2/3+10/15=10/15+10/15=20/15`.

Answer 2

`4/3` or `1 1/3`

Explanation:

`2/3+10/15`

`:.(10+10)/15`

`:.cancel20^4/cancel15^3`

`:.4/3` or`1 1/3`

2nd option:

`:.2/3+cancel10^2/cancel15^3`

`:.2/3+2/3`

`4/3` or `1 1/3`