Convert the given mixed fraction into an improper fraction
$11 \frac{5}{7}$

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Solution

Conversion of mixed fraction into improper fraction.
We know that, $I m p r o p e r f r a c t i o n = \frac{(W h o l e n u m b e r p a r t \times D e n o m i n a t o r) + N u m e r a t o r}{D e n o m i n a t o r}$
So, $11 \frac{5}{7}$ $= \frac{11 \times 7 + 5}{7}$
$= \frac{77 + 5}{7}$
$= \frac{82}{7}$
Hence, $11 \frac{5}{7}$ can be written in the form of improper fraction as $\frac{82}{7}$ .

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