# Fractions Homework Ks4 Science

### What you need to know:

It is required to know how to perform addition, subtraction, multiplication, and division with fractions. First, you understand that if you multiply the numerator (top) and denominator (bottom) of any fraction by the same number, the value of the fraction stays the same.

• ADDITION/SUBTRACTION: In order to add (or subtract) two fractions, they must have the same denominator; the number on the bottom. So, if we are asked to add together the fractions \frac{1}{3} and\frac{5}{8} , then you should be able to manipulate each fraction (always multiplying top and bottom by the same amount) accordingly to make: \frac{1}{3} + \frac{5}{8} = \frac{8}{24} + \frac{15}{24} = \frac{23}{24}.

• MULTIPLICATION: Multiplication between fractions is the most straightforward operation we can perform on them. Simply multiply the numerators together and multiply the denominators together. See:\frac{1}{2} \times \frac{3}{5} = \frac{3}{10}.

• DIVISION: In order to divide one fraction by another, you must remember the Keep/Change/Flip rule, which says that if you are dividing one fraction by another, you Keep the first one the same; Change the divide symbol to a multiplication, and Flip the second fraction. At this point, you only need to perform the multiplication as standard.
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