Question

Can someone tell me step by step how to solve this?


`((1)/(3)-(1)/(10))^(2) -(1)/(5):((2)/(5) )^(2)`

Answer 1

Explanation:

I take it that this is some sort of ratio. Start by solving the brackets on the left.

Brackets: 1/3 - 1/10

Brackets: 10/30 - 3/30

Brackets: 7/30

Brackets^2: 49/900

Brackets^2 - 1/5: 49/900 - 180/900

Brackets^2 - 1/5: -131/900

(2/5)^2 = 4/25

The way this read, it should be

`((-131)/(900) )/((4)/(25) )`

Which when you invert and multiply becomes

`(-131)/(900) * (25)/(4)`

which finally becomes

`(-131)/(144)`