Question

How do you solve `(\frac { 3} { 2} \cdot \frac { 4} { 3} ) ^ { 2} \div ( \frac { 1} { 2} \cdot \frac { 2} { 5} ) ^ { 2}`?

Answer 1

`100`

Explanation:

Right now we have `(3/2*4/3)^2-:(1/2*2/5)^2`

This can be simplified to `((3*4)/(2*3))^2-:((1*2)/(2*5))^2`

As each fraction has number the occurs on the top and bottom, we can cancel to get: `(4/2)^2-:(1/5)^2`

`2^2=4, and (1/5)^2=1/25`

`4-:1/25=4*25=100`