Question

Which values of a, b, and c represent the answer in simplest form?StartFraction 7 Over 9 EndFraction divided by StartFraction 4 Over 9 EndFraction = a StartFraction b Over c EndFraction

Answer 1

Factions

We are given the following operation:

$\frac{\frac{7}{9}}{\frac{4}{9}}$

It's required to express the result as a mixed fraction in the form a b/c

Operating:

$\frac{\frac{7}{9}}{\frac{4}{9}}=\frac{7}{9}\cdot\frac{9}{4}=\frac{7}{4}$

This result can be written as:

$\begin{gathered} \frac{7}{4}=\frac{4+3}{4} \\ \frac{7}{4}=\frac{4}{4}+\frac{3}{4} \\ \frac{7}{4}=1+\frac{3}{4} \\ \frac{7}{4}=1\frac{3}{4} \end{gathered}$

Thus a=1, b=3, and c=4