Question

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

$15\frac{3}{40}$

Answer 1

Given mixed fraction is $15\frac{3}{40}$

To convert mixed fraction to improper fraction, we have

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

Given whole$=15$ numerator $=3$ denominator$=40$

$$\begin{gathered} \therefore Fraction=\frac{Whole\times Denominator+Numerator}{Denominator} \\ Fraction=\frac{(15\times 40)+3}{40} \\ Fraction=\frac{600+3}{40} \\ Fraction=\frac{603}{40} \end{gathered}$$

Hence, the improper fraction of $15\frac{3}{40}$ is $\frac{603}{40}$.