Question

1/4(1−2/3)^2+1/3 1/3(1−1/4)^2 Will mark big brain for right answers

Answer 1

13/36 and 3/16

Explanation:

1/4(1−2/3)^2+1/3

Remember to use the oder of operations. So what is in the ( ) is first.

1/4
`((1)/(3) )^(2)` + 1/3 Now take
`((1)/(3) )^(2)` which is
`(1)/(3) *(1)/(3) = (1)/(9)`

So now we have

`(1)/(4) *(1)/(9) +(1)/(3)` Order of operations so we multiply next.

`(1)/(4) *(1)/(9) = (1)/(4*9) = (1)/(36)`

`(1)/(36) +(1)/(3)` We need to find a common denominator to add them. 3 goes into 36 so we multiply
`(1)/(3) * 12 = (1)/(3) * (12)/(12) = (12)/(36)`

Now we can add them.

`(1)/(36) + (12)/(36) = (13)/(36)`

1/3(1−1/4)^2

`(1)/(3) (1-(1)/(4) )^(2)`

`(1)/(3) ((3)/(4) )^(2)`

`(3)/(4) *(3)/(4) = (9)/(16)`

`(1)/(3) *(9)/(16) = (9)/(48)`

We can reduce 9/48 by dividing by 3/3 which equals

3/16