MATH SOLVE

4 months ago

Q:
# To divide two fractions, first rewrite the problem as the dividend times the ______ of the divisor.

Accepted Solution

A:

Answer:To divide two fractions, first rewrite the problem as the dividend times the _inverse_ of the divisor.Step-by-step explanation:Suppose we have the following division of fractions:[tex]\frac{\frac{b}{c}}{\frac{h}{p}}[/tex]The dividend is the expression that appears in the numerator. In this case, the dividend is: [tex]\frac{b}{c}[/tex]The divisor is: [tex]\frac{h}{p}[/tex]We can write this expression as:[tex]\frac{b}{c}*\frac{1}{\frac{h}{p}}[/tex]But [tex]\frac{1}{\frac{h}{p}}=\frac{p}{h}[/tex] and [tex]\frac{p}{h}[/tex] is the inverse of [tex]\frac{h}{p}[/tex]Therefore [tex]\frac{\frac{b}{c}}{\frac{h}{p}}=\frac{b}{c}*\frac{p}{h}[/tex]Then to divide two fractions, first rewrite the problem as the dividend times the _inverse_ of the divisor.