Question

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

$10\frac{9}{19}$

Answer 1

Given mixed fraction is $10\frac{9}{19}$

To convert mixed fraction to improper fraction, we have

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

Given the whole$=10$ numerator $=9$ denominator$=19$

$$\begin{gathered} \therefore Fraction=\frac{Whole\times Denominator+Numerator}{Denominator} \\ Fraction=\frac{(10\times 19)+9}{19} \\ Fraction=\frac{190+9}{19} \\ Fraction=\frac{199}{19} \end{gathered}$$

Hence, the improper fraction of $10\frac{9}{19}$ is $\frac{199}{19}$.