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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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