Question

Add the fractions to simplify the answer 1/2 + 2/3

Answer 1

To add fractions, we need to have the same denominator, or else we cannot proceed.


`(1)/(2)` +
`(2)/(3)`

Least common denominator:
2 × 1 =2 3 × 1 = 3
2 × 2 =4 3 × 2 = 6
2 × 3 =6

6 is the least common denominator


`(1*3)/(2*3)` +
`(2*2)/(3*2)`
(multiplying to have the same denominator)

`(3)/(6)` +
`(4)/(6)`

`(7)/(6)`

As a mixed number:

`1 (1)/(6)`

Answer 2

1/2+2/3=3+4/6
=7/6
=1 1/6