All About Fractions
3
All About Fractions
Introduction
Conclusion
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 and persenteges. You would have to be able to work out a fraction of a given quantity.
Fractions
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 which everyone knows.
Quantities
Working out fractions
Another thing about fractions
Adding or subtracting
Add or subtract the whole numbers, write the fractions as fractions with the same denominator, add or subtract the fractions, if you have an improper fraction then convert to a mixed number.
To find a fraction of a quantity:
Divide the quantity by the denominator
Multiply the answer you get by the numerator
To find 2/ 5 of £15, for example:
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
Convert any mixed numbers to improper fractions, turn the second fraction upside down and change divide into times, multiply the denominatos cancelling where possible, convert any improper fractions to mixed numbers.
Dividing
Convert any mixed numbers to improper fractions, simplify if possible, multiply the numerators and multiply the denominators.
Multiplying
Ideas
Notes
Other Fractions
Improper and mixed
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.
1/4 is a mixed fraction because it has a whole number and a fraction together.