Question

What is $\frac{11}{3}$in a mixed number?

Answer 1

Convert improper fractions into a mixed number:

By the long division method, an improper fraction is written in mixed numbers as follows:

$\mathrm{Quotient}\frac{\mathrm{Remainder}}{\mathrm{Divisor}}$

When $11$is divided by $3$

it is found $\mathrm{Divisor}=3,\mathrm{Quotient}=3\mathrm{and}\mathrm{Remainder}=2$

such that $11=\left(3\times 3\right)+2$

thence$\frac{11}{3}=3\frac{2}{3}$

Hence, the required mixed number is$3\frac{2}{3}$.