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

Let's start by finding an equivalent fraction to 3/9.

To do this, we can divide both the numerator and the denominator by their greatest common factor, which is 3.

3/9 ÷ 3/3 = 1/3

So, an equivalent fraction to 3/9 is 1/3.

Now, let's find the fraction Roberto is thinking of. Roberto mentioned that the denominator is 2 more than the numerator.

If we let the numerator be x, then the denominator is x + 2.

Therefore, the fraction Roberto is thinking of is x/(x + 2).

Since an equivalent fraction is 1/3, we can set up an equation:

x/(x + 2) = 1/3

To solve for x, we can cross multiply:

3x = x + 2

3x - x = 2

2x = 2

x = 2/2

x = 1

So, the fraction Roberto is thinking of is 1/(1 + 2), which simplifies to 1/3.