Question

Roberto said, "I'm thinking of a fraction that is equivalent to 3 9 . The denominator is 2 more than the numerator." What fraction is Roberto thinking of?

Answer 1

The fraction that Roberto is thinking of is $\mathbf{\dfrac{x}{2+x} = \dfrac{3}{9}}$ and the value of x = 1

What is a fraction?

A fraction is that part of a whole number that is used to express figures into two parts which are the numerator(upper part) and the denominator(lower part) and these two parts are separated by a division line.

From the given information, we have:

$\mathbf{\dfrac{x}{2+x} = \dfrac{3}{9}}$

Cross multiply

9x = 3(2+x)

9x = 6 + 3x

9x - 3x = 6

6x = 6

x = 6/6

x = 1

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