What is a fraction?
A fraction tells you how many parts of a whole you have. Fractions are shown by having one number on top of another, for example:
There are two parts to a fraction:
- The number on top, called the numerator, shows how many parts you have (1 in this example, making it a unit fraction).
- The number on the bottom, called the denominator, shows how many parts something has been divided equally into (4 in this example).
What is a quarter?
A quarter or \( \frac{1}{4} \) means '1 part of something that has been divided into 4 equal parts'.
If you add four quarters together you get one whole.
\( \frac{1}{4} \) + \( \frac{1}{4} \) + \( \frac{1}{4} \) + \( \frac{1}{4} \) = 1
Top tip
Remember when a whole is divided into quarters, they must be equal.
Finding a quarter of an amount
When finding a quarter of an amount, it is the same as dividing by 4.
Instead of drawing an array for larger numbers, you can use your 4 times table facts to help you instead.
Another way is to find half and then half again. A quarter is half of a half.
Example 1
What is quarter of 32?
How many 4s are in 32?
32 梅 4 = 8
We can double check the answer with the halving method.
\( \frac{1}{2} \) of 32 is 16
\( \frac{1}{2} \) of 16 is 8
You get the same answer: 8.
Example 2
What is \( \frac{1}{4} \) of 68?
68 is not in the 4 times table, but you can still easily divide using Base 10:
We need to share the 68 into 4 equal groups.
The 8 ones can be split into 4 groups easily, but the tens are more complicated.
4 tens can be split easily - one in each part. But the two remaining tens will have to become 20 ones so they can be shared equally - 5 ones in each group.
20 梅 4 = 5
Now you can split 68 into 4 equal parts:
You have the answer: 17.
Example 3
Billy has \( \frac{1}{4} \) of 48 sweets. Hassan has \( \frac{1}{2} \) of 24. Who has the most sweets?
First, work out the amount of sweets both boys have.
Billy has \( \frac{1}{4} \) of 48.
48 梅 4 = 12
Hassan has \( \frac{1}{2} \) of 24.
24 梅 2 = 12
So both boys have the same number of sweets.
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