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# Converting Time to Decimals

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Author: Teresa Weise
##### Description:

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).

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Tutorial

## Step 1: Make a fraction.

What is the decimal for 45 minutes?

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.

## Step 2: Converting between decimals and fractions review.

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