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Fraction of a Number

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What is
1
2
of 6?
 

To answer this question, let's first draw 6 stars.

1

Since our denominator is 2, we need to split up these stars into 2 even groups:

2

And since our numerator is 1, we need to look at one of the groups.

3

So, 3 is
1
2
of 6 .
 

Let's take a look at a few examples of fractions of numbers:

Example 1

 
What is
1
3
of 12?
 

Let's draw 12 stars and split them into 3 groups (because 3 is the denominator).

4

Since the numerator is 1, we'll circle 1 group and count up those stars:

4a

There are 4 stars in 1 group.

So,
1
3
of 12 is 4.

Example 2

 
What is
3
4
of 8?
 

We need to draw 8 stars and split them up into 4 groups (because 4 is the denominator).

5

Since the numerator is 3, we'll circle 3 groups and count up those stars:

6

6 stars are circled, so our answer is 6.

 
3
4
of 8 is 6.
 
 

Example 3

 
What is
2
5
of 10?
 

Start with 10 stars and divide them into 5 groups (because the denominator is 5).

Then, circle 2 of these groups (because the numerator is 2).

7

So,
2
5
of 10 is equal to 4.
Summary
  • Fractions show pieces of a whole and consists of a numerator and a denominator.
  • The denominator (the bottom number) tells how many total pieces there are and the numerator (the top number) tells how many of those pieces we are talking about.

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