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What is 1/6 + 1/5 + 1/3?

1 Answer

Sep 9, 2015

$\frac{1}{6} + \frac{1}{5} + \frac{1}{3} = \frac{7}{10}$ $1/6+1/5+1/3 = 7/10$

Explanation:

We need to convert each of the terms so they have the same denominator.

The least common denominator is $30$ $30$

$\frac{1}{6} = \frac{5}{30} XXX \frac{1}{5} = \frac{6}{30} XXX \frac{1}{3} = \frac{10}{30}$ $1/6 = 5/30color(white)("XXX")1/5=6/30color(white)("XXX")1/3=10/30$

So
$\frac{1}{6} + \frac{1}{5} + \frac{1}{3}$ $1/6+1/5+1/3$

$XXX = \frac{5}{30} + \frac{6}{30} + \frac{10}{30}$ $color(white)("XXX")=5/30+6/30+10/30$

$XXX = \frac{5 + 6 + 10}{30}$ $color(white)("XXX")=(5+6+10)/30$

$XXX = \frac{21}{30}$ $color(white)("XXX")=21/30$

$XXX = \frac{7}{10}$ $color(white)("XXX")=7/10$

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