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Author:
Teresa Weise

This tutorial should help a student understand how to convert between minutes and decimal parts of an hour, for example, 45 minutes is 0.75 hours (not 0.45 hours).

Tutorial

What is the decimal for 45 minutes?

(Please don't say 0.45!!!)

Remember that there are 60 minutes in an hour. Since 60 minutes = 1 hour, we can create a fraction with 60 as the denominator.

In this case:

__45__

60

Or in more general (algebraic) terms:

__m __ if m = number of minutes

60

Once you have a fraction, it is time to convert to a decimal.

Since

__45__ = 45 / 60 = 0.75

60

The answer should be 0.75 parts of an hour,

but what if I divided wrong?

Better check my work.

Think back early elementary school when you were first learning about fractions. Remember when you were first cutting up a circle. You probably had these pieces.

Picture 1 shows

__1__ = 0.25

4

Picture 2 shows

__1__ = 0.5

2

Picture 3 shows

__3__ = 0.75

4

Since 45 minutes is like the 3/4 clock,

45 minutes = 0.75.

Yes! That matches the answer from dividing!