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

Question

For example what is the fraction of 45 minutes?

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Answer 1 · 2018-02-14T14:02:15

See a solution process below:

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 · 2018-02-15T14:37:27

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

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.