Question

Evaluate

15 ÷ (3+1/3) ²

Answer 1

`(27)/(20)`

Explanation:

First, convert both numbers into fractions:

`(15)/(1) / \left((10)/(3)\right)^2`

Then, apply the exponent of the second fraction in parentheses to its numerator and denominator.

`(15)/(1) / \left((10^2)/(3^2)\right)`

`(15)/(1) / (100)/(9)`

Finally, multiply the first fraction by the reciprocal of the second fraction.

(Skip, Flip, Multiply)

`(15)/(1) * (9)/(100)`

`(135)/(100)`

And simplify.

`(135 / 5)/(100 / 5)`

`(27)/(20)`