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find the value for y

 

2/3 +y/3=1/1

 May 9, 2014

Best Answer 

 #2
avatar
+11

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

 May 9, 2014
 #1
avatar+1006 
+8

First, make all the denominators equal.

 

23+y3=33

 

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

 

2+y=3

 

Subtract 2 to isolate 'y'.

 

y=1

 

Final answer.

 May 9, 2014
 #2
avatar
+11
Best Answer

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

Guest May 9, 2014

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