Question

How do you add `1/3 + 5/12 + 4/5`?

Answer 1

`1/3+5/12+4/5=1 11/20`

Explanation:

To add `1/3+5/12+4/5`, firs convert all denominators to Lease Common Denominator (LCD), which is nothing but Least common multiple of `3`, `12` and `5`. As `3` is a factor of `12`, their LCD is `12` and LCD of `12` and `5` is `12xx5=60` (as nothing is common between them. Hence LCD of `3`, `12` and `5` is `60`.

Hence, converting each denominator of `1/3+5/12+4/5` to LCD,

`1/3+5/12+4/5` = `(1xx20)/(3xx20)+(5xx5)/(12xx5)+(4xx12)/(5xx12)`

= `20/60+25/60+48/60`

= `(20+25+48)/60=93/60=(31cancel93)/(20cancel60)=31/20=1 11/20`

(We have divided `93` and `60` by `3` here to simplify.)