MATH SOLVE

3 months ago

Q:
# Simplify 16m^2/m^2+5/4m/3m^2+15

Accepted Solution

A:

Answer:12mStep-by-step explanation:We are given the following expression where a fraction is divided by another fraction:[tex]\frac{\frac{16m^2}{m^2+5} }{\frac{4m}{3m^2+15} }[/tex]To change this division into multiplication, we will take reciprocal of the fraction in the denominator and then solve:[tex] \frac { 1 6 m ^ 2 } { m^2+5} } \times \frac{3m^2+15}{4m}[/tex]Factorizing the terms to simplify:[tex] \frac { 4 m ( 4m ) } { m ^ 2 + 5 } \times \frac { 3 ( m ^ 2 + 5 ) } { 4 m } [/tex]Cancelling the like terms to get:12m