What is 2/3+10/15?

2 Answers
Feb 13, 2017

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.

Feb 14, 2017

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