Question

Write each mixed fraction as an improper fraction in its simplest form.

$33\frac{1}{3}$

Answer 1

Given mixed fraction is $33\frac{1}{3}$

To convert mixed fraction to improper fraction, we have

$Fraction=\frac{Whole\times Denominator+Numerator}{Denominator}$

Given whole$=33$ numerator $=1$ denominator$=3$

$$\begin{gathered} \therefore Fraction=\frac{Whole\times Denominator+Numerator}{Denominator} \\ Fraction=\frac{(33\times 3)+1}{3} \\ Fraction=\frac{99+1}{3} \\ Fraction=\frac{100}{3} \end{gathered}$$

Hence, the improper fraction of $33\frac{1}{3}$ is $\frac{100}{3}$.