Simplify: $\frac{3}{4}-\frac{5}{7}+\frac{9}{14}$.

Given :

The given expression is $\frac{3}{4}-\frac{5}{7}+\frac{9}{14}$.

To do :

We have to simplify the given expression.

Solution :

$\frac{3}{4}-\frac{5}{7}+\frac{9}{14}$.

Denominators are different, to make them equal, take LCM.

LCM of 4, 7, 14  is 28.

Therefore,

$\frac{3}{4}-\frac{5}{7}+\frac{9}{14}=\frac{3\times7}{4\times7} - \frac{5\times4}{7\times4} + \frac{9\times2}{14\times2}$

$=\frac{21}{28} - \frac{20}{28} + \frac{18}{28}$

Now, the denominators are same.

This implies,

$\frac{21}{28} - \frac{20}{28} + \frac{18}{28}=\frac{21 - 20 + 18}{28}$

$=\frac{39-20}{28}$

$=\frac{19}{28}$

The value of $\frac{3}{4}-\frac{5}{7}+\frac{9}{14}$ is $\frac{19}{28}$.

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Updated on: 10-Oct-2022

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