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
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.