Fractions
A fraction is a part of a whole, for example 1/2. Equivalent fractions are fractions that look different but show the same amount. Improper fractions have numerators that are higher than the denominator, while mixed fractions contain whole numbers and fractions.
In order to compare fractions, you need to change them so they have the same denominator. Fractions can be converted into decimals. You need to be able to work out a fraction of a given quantity.
In order to compare fractions, you need to change them so they have the same denominator. Fractions can be converted into decimals. You need to be able to work out a fraction of a given quantity.
What is a fraction?
A fraction is a part of a whole. There are two numbers to every fraction:
The top number of the fraction is called the numerator. The bottom number is called the denominator.
Improper and Mixed fractions
An improper fraction has a numerator that is bigger than its denominator, for example 10/7
9/4 is an improper fraction. It means nine quarters. If you think of this as cakes, nine quarters are more than two whole cakes. It is 2 1/4 cakes.
9/4 is an improper fraction. It means nine quarters. If you think of this as cakes, nine quarters are more than two whole cakes. It is 2 1/4 cakes.
2 1/4 is a mixed fraction because it has a whole number and a fraction together.
Fractions of quantities
To find a fraction of a quantity:
- Divide the quantity by the denominator
- Multiply the answer you get by the numerator
- Divide 15 by 5 (the denominator): 15 ÷ 5 = 3
- Multiply the answer 3 by 2 (the numerator): 3 x 2 = 6
- So 2/ 5 of $15 is $6
Equivalent Fractions
Equivalent fractions are fractions that look different but show exactly the same amount.
- You can make equivalent fractions by multiplying or dividing the numerator and denominator by the same number.
- You can simplify fractions by dividing the numerator and denominator by the same number. This is called cancelling.
Sometimes fractions will cancel more than once.