Question

Express the mixed fraction as improper fraction:

$9\frac{1}{6}$

Answer 1

We know that, for converting mixed fraction into improper fraction, we have

$\frac{(Denominator\times Wholenumber)+Numerator}{Denominator}$

Therefore,

$\begin{array}{rcl}9\frac{1}{6}& =& \frac{(6\times 9)+1}{6}\\ & =& \frac{54+1}{6}\\ & =& \frac{55}{6}\end{array}$

Therefore, the improper fraction for the mixed fraction $9\frac{1}{6}$ is $\frac{55}{6}$.