Question

Which fraction represents 24/72 in its simpliest form? Hint: find the greatest common factor and divide that number into 24 and 72 a) 12/33 b) 1/3 c) 1/4 d) 4/12​

Answer 1

Answer: b) 1/3.

Explanation:

To simplify the fraction 24/72 to its simplest form, you need to find the greatest common factor (GCF) of 24 and 72 and then divide both the numerator and denominator by the GCF.

First, find the GCF of 24 and 72:

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The largest number that appears in both lists is 24. Therefore, the GCF of 24 and 72 is 24.

Now, divide both the numerator (24) and denominator (72) by the GCF (24):

(24 ÷ 24) / (72 ÷ 24) = 1/3

So, the fraction 24/72 simplified to its simplest form is 1/3.

The correct answer is b) 1/3.