Question

Convert the given mixed fraction into an improper fraction:

$11\frac{11}{13}$

Answer 1

Conversion of mixed fraction into improper fraction.

We know that, $\mathbf{\text{Improper fraction=}}\frac{\left(Wholenumberpart\times Denominator\right)\mathbf{+}\mathbf{N}\mathbf{u}\mathbf{m}\mathbf{e}\mathbf{r}\mathbf{a}\mathbf{t}\mathbf{o}\mathbf{r}}{\mathbf{D}\mathbf{e}\mathbf{n}\mathbf{o}\mathbf{m}\mathbf{i}\mathbf{n}\mathbf{a}\mathbf{t}\mathbf{o}\mathbf{r}}$

So, $11\frac{11}{13}=\frac{11\times 13+11}{13}$

$=\frac{143+11}{13}$

$=\frac{154}{13}$

Hence, $11\frac{11}{13}$ can be written in the form of improper fraction as $\frac{154}{13}$