Question

Calculate: ????


`( (5)/(6) ) ^(2) * (12)/(15)`
​

Answer 1

`(5)/(9)`

Step-by-step explanation:

1) Reduce the
`(12)/(15)` to
`(4)/(5)` by dividing with 3. (12/3 = 4 & 15/3 = 5)

`((5)/(6))^(2)` ×
`(4)/(5)`

2) Raise the numerator and denominator to the power.

5×5= 25 & 6×6=36

`(25)/(36)` ×
`(4)/(5)`

3) Reduce the numbers (25 & 5) with the greatest common factor 5

`(5)/(36)` ×
`(4)/(1)`

4) Multiply the fractions.

5×4= 20

36×1= 36

`(20)/(36)`

5) Simplify.

20÷4 = 5

36÷4 = 9

`(5)/(9)`