Question

What is 5 1/3% as a fully reduced fraction?

A) 16/3
B) 5/16
C) 17/3
D) 5/3

Answer 1

To convert 5 1/3% to a fully reduced fraction, we first convert the mixed number to an improper fraction and then divide by 100. The answer is 4/75.

Step-by-step explanation:

To convert 5 1/3% to a fully reduced fraction, we need to convert the mixed number to an improper fraction and then divide by 100.

Step 1: Convert the mixed number 5 1/3 to an improper fraction.

5 1/3 = (3 x 5 + 1)/3 = 16/3

Step 2: Divide the improper fraction by 100.

(16/3) / 100 = 16/3 / 100/1 = 16/3 x 1/100 = 16/300 = 8/150 = 4/75

Therefore, 5 1/3% as a fully reduced fraction is 4/75.