Question

A fraction is equivalent to 2/3. The product of its numerator and denominator is 216. What is the fraction?

Answer 1

144/216

I just divide 216 by 3, and multiply the quotient by 2, to get the
numerator

Answer 2

Let x represent the unknown fraction; it is equivalent to 2/3, and the product of the numerator and denominator gives us 216.

x = 2/3

Numerator • denominator = 216

2x/3x

By factoring, we will find that:

6x^2 = 216

216 / 6 = 36

x^2 = 36

x = 6

6 is the GCF of our missing fraction.

Through calculation, we will find that the missing fraction is 12/18 since it has a GCF of 6.

The fraction is 12/18.