Solve $\frac{7}{8}-\frac{1}{6}+\frac{5}{12}$.

Given:

Given expression is $\frac{7}{8}-\frac{1}{6}+\frac{5}{12}$.

To do:

We have to simplify the given expression.

Solution:

In this type of questions, take the lcm first. The lcm of 8, 6 and 12 is 24.

Therefore,

$\frac{7}{8}-\frac{1}{6}+\frac{5}{12}=\frac{7\times3-4\times1+5\times2}{24}$

                      $= \frac{21 - 4 + 10}{24}$

                     $= \frac{31 - 4}{24}$

                    $= \frac{27}{24}$

                   $= \frac{9}{8}$.

Therefore, $\frac{7}{8}-\frac{1}{6}+\frac{5}{12}= \frac{9}{8}$.

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Updated on: 10-Oct-2022

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