Question

Roberto said, "I'm thinking of a fraction that is equivalent to 39
. The denominator is 2 more than the numerator." What fraction is Roberto thinking of? Enter the numerator in the top blank space and denominator in the bottom blank space.

Answer 1

Let's assume the numerator is x. Then the denominator is x + 2.

Since the fraction is equivalent to 39/1, we can write the following equation:

x / (x + 2) = 39 / 1

To solve for x, we can cross multiply:

x * 1 = 39 * (x + 2)

x = 39x + 78

Subtract 39x from both sides:

x - 39x = 78

-38x = 78

Divide both sides by -38:

x = -2.05

Since the numerator cannot be negative, we can conclude that the numerator is 2.

Therefore, the fraction Roberto is thinking of is:
numerator: 2
denominator: 2 + 2 = 4

So, Roberto is thinking of the fraction 2/4.