Simplify: $ \frac{7}{8}-\frac{5}{12}+\frac{1}{24} $.

Given:

Given expression is \( \frac{7}{8}-\frac{5}{12}+\frac{1}{24} \).

To do:

We have to simplify the given expression.

Solution:

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

Therefore,

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

                      $= \frac{21 - 10 + 1}{24}$

                     $= \frac{22 - 10}{24}$

                     $= \frac{12}{24}$

                    $= \frac{1}{2}$.

Therefore, 

$\frac{7}{8}-\frac{5}{12}+\frac{1}{24}= \frac{1}{2}$.

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Updated on: 10-Oct-2022

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