how do you solve algebra equations with fractions in them?

Question

y+ 2/3 = 3/4   what are the step to solve this type of equation?

Answer 1

use your calculator to change the fractions into decimals---

Answer 2

The lowest common denominator (LCD) of 2/3 and 3/4 is 12.

So, multiply both sides by 12.

12y + 24/3 = 36/4

12y + 8 = 9

12y = 1

y = 1/12

Answer 3

The first step is to see that you need to get a common denominator for the 2/3 and 3/4 so that you can subtract the 2/3 from both sides.

12 is the smallest common multiple of both fractions.

3 goes into 12 four times so multiply the top and bottom by 4 and 2/3 becomes 8/12 : we just renamed 2/3 in terms of 12 in the denominator.

We then do the same thing for the 3/4. 4 goes into 12 three times so we can rename 3/4 as 9/12

Then we can subtract 8/12 from both sides

y +8/12-8/12= 9/12 -8/12

and y=1/12

check.

1/12 +8/12= 9/12