Question

What is 4/5(1/4c-5)? By using distributive property and collecting like terms.

Answer 1

The simplified expression is

`(4)/(5)((1)/(4)c-5)=(c)/(5)-4`

Explanation:

Given expression is

`(4)/(5)((1)/(4)c-5)`

To simplify the given expression:

`(4)/(5)((1)/(4)c-5)`

`(4)/(5)((1)/(4)c-5)=((4)/(5)* (1)/(4)c)-((4)/(5)* 5)` ( here using the distributive property )

`=((1)/(5)c)-(4* 1)` (simplify the factors )

`=(1)/(5)c-4` or

`=(c)/(5)-4`

Therefore the simplified expression is

`(4)/(5)((1)/(4)c-5)=(c)/(5)-4`