Isolating Variables and Fractions

To simplify the equation as much as possible

To make both sides of the equation equal

To find the value of the variable

To eliminate all fractions

Divide both sides by 1/2

Multiply both sides by 2

Subtract 1/2 from both sides

Add 1/2 to both sides

Subtract 3/4 from both sides

Multiply both sides by 4/5

Add 3/4 to both sides

Divide both sides by 3/4

15

25

10

20

Multiply both sides by 3/2

Subtract 2/3 from both sides

Divide both sides by 3/2

Add 2/3 to both sides

3/2

2/3

1/3

3/1

13/10

10/13

5/1

1/5

Add 2/7 to both sides

Subtract 2/7 from both sides

Multiply both sides by -7/2

Divide both sides by -7/2

-3 and 1/5

-2 and 3/5

-2 and 4/5

-3 and 2/5

Add the numerator to the denominator

Divide the numerator by the denominator

Multiply the numerator by the denominator

Subtract the denominator from the numerator