Fraction word problem

Question

A fraction is equivalent to 6/7. It's denominator is 5 more than its numerator. What is the denominator of this fraction?

Answer 1

We begin with the fraction 6/7

What are equivalent fractions to 6/7?

12/14

18/21

24/28

30/35

Notice that for 6/7, numerator and denominator differ by 1

In 12/14, numerator and denominator differ by 2

In 18/21, numerator and denominator differ by 3

In 24/28, numerator and denominator differ by 4

Finally,

In 30/35, numerator and denominator differ by 5