Question

The sum of the numerator and the denominator of a fraction is 216. The fraction is equivalent to $\frac{2}{7}$. What is the value of the denominator?

Answer 1

Given:

The sum of the numerator and the denominator of a fraction is 216.

The simplest form of the fraction is 2/7.

To find:

The value of the denominator.

Solution:

1) The simplest form of the fraction is 2/7 so the original fraction will be given as:

• 2x/7x

2) According to the condition of the question:

• 2x+7x = 216

• 9x = 216

• x = 216/9

• x = 24

So the fraction is 2.24/7.24 = 48/168.

The value of the denominator is 168.