Question

How do I convert minutes to a fraction of an hour?

For example what is the fraction of 45 minutes?

Answer 1

See a solution process below:

Explanation:

Let's call the number of minutes you have: `m`

There are 60 minutes in an hour. So we can write the number of minutes as a fraction of an hour as:

`m/((60"min")/"hr")`

Let's give an example. Let's say you want to convert 17 minutes into a fraction of an hour.

`(17"min")/((60"min")/"hr")`

`((17"min")/1)/((60"min")/"hr")`

`(17"min" xx "hr")/(1 xx 60"min")`

`(17color(red)(cancel(color(black)("min"))) xx "hr")/(1 xx 60color(red)(cancel(color(black)("min"))))`

`(17"hr")/60`

`17/60"hr"`

A simple rule

`m" minutes" = m/60"hr"`

Answer 2

Write the fraction as `"minutes"/60` to get the fraction of an hour.

Explanation:

Minutes are a part of an hour. There are `60` minutes to an hour.

As soon as you divide minutes by `60` you are converting to hours.

As a fraction of an hour:

write the minutes in the numerator and `60` in the denominator.

`12` minutes `= 12/60 = 1/5` of an hour

`25 " minures " = 25/60 = 5/12` of an hour

`45 " minutes" = 45/60 = 3/4` of an hour

`100 " minutes " = 100/60 = 5/3 = 1 2/3` hours.