How do you multiply and simplify \frac { 4a ^ { 2} b } { b ^ { 2} c } \cdot \frac { 6b ^ { 4} c ^ { 2} } { 8a b ^ { 2} }?

1 Answer
Jul 20, 2017

3abc

Explanation:

There are several ways to multiply and simplify this expression... Hopefully you'll understand how I do it...

Step 1) Simplify each fraction as a whole fraction

(4a^2b)/(b^2c)*(6b^4c^2)/(8ab^2)

=(4a^2)/(bc)*(3b^2c^2)/(4a)

Step 2) Cross multiply

=a/(bc)*3b^2c^2

=a*3bc

Step 3) Multiply

=3abc