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:

`((7)/(9))/((4)/(9))`

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

Operating:

`((7)/(9))/((4)/(9))=(7)/(9)\cdot(9)/(4)=(7)/(4)`

This result can be written as:

`\begin{gathered} (7)/(4)=(4+3)/(4) \\ (7)/(4)=(4)/(4)+(3)/(4) \\ (7)/(4)=1+(3)/(4) \\ (7)/(4)=1(3)/(4) \end{gathered}`

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