Question

Adam got 56 out of 84 correct in his test.

What fraction of the marks did he get correct?
Give your answer in its simplest form

Answer 1

56/84 = 28/42 = 14/21 = 2/3

Explanation:

56 out of 84

56/84 divided 2 = 28/42 divided 2 = 14/21 divided 7 = 2/3

Answer 2

2/3

Explanation:

There are a total of 84 questions, but Adam only got 56 of them correct. So, we have the fraction 56/84.

We want to simplify this, so determine the greatest common factor (GCF) of 56 and 84 by prime factorising each of them:

56 = 2 * 2 * 2 * 7

84 = 2 * 2 * 3 * 7

Notice that they share 2 * 2 * 7 = 28. So, divide both the numerator and denominator of 56/84 by 28:

56 ÷ 28 = 2

84 ÷ 28 = 3

The answer is 2/3.

Hope this helps!