Question

How do you evaluate `\frac { 1} { 3} y = 2\frac { 1} { 3`}?

Answer 1

`y=7`

Explanation:

Convert `2 1/3" into an improper fraction"`

`"that is " 2 1/3=7/3`

`rArr1/3y=7/3`

To ' eliminate' the fractions, multiply both sides of the equation by 3

`cancel(3)^1xx1/cancel(3)^1y=cancel(3)^1xx7/cancel(3)^1`

`rArry=7" is the solution"`

Note also that `1/3y=y/3`

`rArry/3=7/3`

Since the denominators are equal, then the numerators will be equal.

`rArry=7`