Question

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

$4\frac{7}{8}$

Answer 1

Given mixed fraction is $4\frac{7}{8}$

To convert mixed fraction to improper fraction, we have

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

Given whole$=4$ numerator $=7$ denominator$=8$

$$\begin{gathered} \therefore Fraction=\frac{Whole\times Denominator+Numerator}{Denominator} \\ Fraction=\frac{(4\times 8)+7}{8} \\ Fraction=\frac{32+7}{8} \\ Fraction=\frac{39}{8} \end{gathered}$$

Hence, the improper fraction of $4\frac{7}{8}$ is $\frac{39}{8}$.