Question

Evaluate

16 ÷ (2 + 1/2 ) ²

A) 2 14/25

B) 4 1/4

C) 6 2/5

D) 8 1/4

Answer 1

A

Explanation:

Evaluate the sum in the brackets first to give 2.5 and square that to give 6.25

Divide 16 by 6.25 to get A

Answer 2

A) 2 14/25

Explanation:

This is a question of order of operations, which PEMDAS helps describe.

P- parentheses

E - exponents

M, D - multiplication, division

A, S - addition, subtraction

In your problem, you'd start with P, what's in the parentheses.

16 ÷ (2 1/2)²

Then do the exponent, E. It might help to convert 2 1/2 to 5/2.

16 ÷ 25/4

Then divide, D. When dividing fractions, you can flip the numerator and denominator and multiply.

16 x 4/25

= 64/25

Then simplify. 25 goes into 64 two times, and there is 14 left over.

= 2 14/25