Common denominator of 2/3+10/15?

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Feb 14, 2017

Answer:

#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#

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Feb 13, 2017

Answer:

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#.

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