Question

7/8y +1/3 = 7/12 What does y equal?

Answer 1

1 Simplify \frac{7}{8}y
​8
​
​7
​​ y to \frac{7y}{8}
​8
​
​7y
​​
\frac{7y}{8}+\frac{1}{3}=\frac{7}{12}
​8
​
​7y
​​ +
​3
​
​1
​​ =
​12
​
​7
​​

2 Subtract \frac{1}{3}
​3
​
​1
​​ from both sides
\frac{7y}{8}=\frac{7}{12}-\frac{1}{3}
​8
​
​7y
​​ =
​12
​
​7
​​ −
​3
​
​1
​​

3 Simplify \frac{7}{12}-\frac{1}{3}
​12
​
​7
​​ −
​3
​
​1
​​ to \frac{1}{4}
​4
​
​1
​​
\frac{7y}{8}=\frac{1}{4}
​8
​
​7y
​​ =
​4
​
​1
​​

4 Multiply both sides by 88
7y=\frac{1}{4}\times 87y=
​4
​
​1
​​ ×8

5 Simplify \frac{1}{4}\times 8
​4
​
​1
​​ ×8 to \frac{8}{4}
​4
​
​8
​​
7y=\frac{8}{4}7y=
​4
​
​8
​​

6 Simplify \frac{8}{4}
​4
​
​8
​​ to 22
7y=27y=2

7 Divide both sides by 77
y=\frac{2}{7}y=
​7
​
​2
​​

Answer 2

7/8y + 1/3 = 7/12

y = 2/7