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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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