# Mixed Numbers

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A mixed number contains both a whole number and a fraction.

## Example 1

If Alec ate 2
1
2
candy bars, 2
1
2
is a mixed number because 2 is a whole number and
1
2
is a fraction.

Let's look at a picture of 2
1
2
candy bars:

As you can see, the large number (the whole number), indicates that he ate 2 entire candy bars.

The fraction
1
2
indicates that he also ate
1
2
of another candy bar.

Let's look at a few more examples of mixed numbers.

## Example 2

What mixed number is shown in this picture?

## Solution :

There are 3 full glasses of water, so our whole number is 3.

Now, the last glass is
1
4
filled.

The mixed number shown is 3
1
4
.

## Example 3

Lydia ate 1 apple and then finished
1
3
of another apple. Write this as a mixed number.

## Solution :

Our whole number is 1 because she ate 1 full apple.

The fraction is
1
3
because she ate another
1
3
of an apple.

Thus the mixed number is 1
1
3
.

Represent 4
2
3
using boxes.

## Solution :

Since 4 is the whole number, we must draw and color 4 whole boxes.

Then for the fractional part, 3 is the denominator so we draw one more box and split it into 3 pieces.

2 is the numerator, so we must color 2 of those parts.

## Mixed Numbers

• A Mixed Number contains both a whole number and a fraction.

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