Question

Sofia said, "I'm thinking of a fraction that is equivalent to 5 6 . The numerator is 4 less than the denominator." What fraction is Sophia thinking of?

Answer 1

Answer: 20/24

Explanation:

Let the denominator be x

The numerator is 4 less than the denominator. Therefore, numerator = x-4.

We can then use the information given in the question as:

5/6 = x-4/x.

Cross multiply.

5 × x = 6(x-4)

5x = 6x - 24

6x - 5x = 24

x = 24

Since the denominator is 24, the numerator will be: = x - 4 = 24 - 4 = 20

Then, the fraction will be 20/24