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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.

Mixed 1

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

Mixed 2

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?

Mixed 3

 

Solution :

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

Now, the last glass is
1
4
filled.

Mixed 4

 
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.

Mixed 5

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.

Mixed 6

Thus the mixed number is 1
1
3
.
 

Example 4

 
Represent 4
2
3
using boxes.

Solution :

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

Mixed 7

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

Mixed 8

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

Mixed 9

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

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