Question

It takes `4 2/3` hours to paint a room, and `1 1/4` hours for all the paint to dry. How long does it take altogether?

Answer 1

`5 11/12` hours.

Explanation:

The easiest way to convert fractions into having common denominators (The number on the bottom of a fraction) is to multiply both of the denominators by each other.

`2/3 and 1/4`

`3*4=12`
`4*3=12`

Then, to make sure the fractions still have the same value, multiply the numerator (the number on top of a fraction) of each fraction with the denominator of the other one.

`2*4=8`
`3*1=3`

So, our new fractions are `8/12 and 3/12`. Now, these can be added.

`4` hours `+ 1` hour`= 5` hours

`8/12` hours`+3/12` hours`=(3+8)/12` hours`=11/12` hours

The answer is `5 11/12` hours, which would be 5 hours and 55 minutes.