find the value for y

If you look at the problem 2/3 + y/3 = 1/1, you are trying to find what plus 2/3 will give you 3/3, or 1.

We know that 2/3 + 1/3 will give you 3/3, which is 1 . So y will equal 1. But if that isn't directly obvious, it can be solved with multiple steps.

It is tempting to combine the 2 and y on the top of the fractions, because they share a common denominator, but you cannot combine unlike terms.

So first subtract 2/3 from both sides of the equation.

y/3= 1/1-2/3

Let's focus on the right side for a minute, to subtract fractions, you need the denominators to be the same. So multiply the numerator and denominator of 1/1 by 3.

This will give you 3/3 - 2/3. Subtract the numerators, and keep the denominators.

y/3=1/3     Now to get y by itself, multiply both sides by 3. 3/1 * 1/3; muliply straight across.

y=3/3 or 1

First, make all the denominators equal.

 

$${\frac{{\mathtt{2}}}{{\mathtt{3}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{y}}}{{\mathtt{3}}}} = {\frac{{\mathtt{3}}}{{\mathtt{3}}}}$$

 

That way, since all of the denominators are equal, they can all be canceled out. This makes the equation:

 

$${\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{y}} = {\mathtt{3}}$$

 

Subtract 2 to isolate 'y'.

 

$${\mathtt{y}} = {\mathtt{1}}$$

 

Final answer.