There’s a few things you need to know how to do with fractions.

Simplify

To simplify a fraction just divide the top and bottom by common factors until you can’t go any further.

So 24/30 = 12/15 = 4/5

Mixed Numbers

These have a whole number (integer) and a fraction. Improper fractions are fractions where the top number (numerator) is bigger than the bottom number (denominator).

  • Converting Improper Fractions to Mixed Fractions

To convert an improper fraction to a mixed fraction, follow these steps:

  • Divide the numerator (top number) by the denominator (bottom number).
  • Write down the whole number answer.
  • Then write down any remainder above the denominator.

So 35/6 = 5/6

  • Writing Mixed Numbers As Improper Fractions
  • Multiply the whole number part by the fraction’s denominator.
  • Add that to the numerator
  • Then write the result on top of the denominator.
So if you were asked to write 5 3/4 as a fraction you would:
  • Multiply 5 x 4 = 20
  • Add 20 to 3 = 23
  • Write this number over 4. So the answer is 23/4

MultiplyingEasy! Just multiply the top and bottom separately.

So 3/4 x 2/3 = 6/12 = 1/2

*Remember to simplify at the end*Dividing

Just turn the second fraction upside down and multiply the two together.

So 2/3 ÷ 3/4 = 2/3 x 4/3 = 8/9

Common Denominators

If you want to easily compare fractions then just put them over the same denominator.

If you were asked whether 8/5 or 6/4 is bigger you would:

  • Change the bottom numbers to a common multiple
  • Whatever you have to times the bottom by to get this number, do the same to the top
So 5 and 4 have a common multiple of 20.so 8/5 becomes 32/20
and 6/4 becomes 30/20So you know 8/5 is bigger than 6/4.Adding and Subtracting

Make sure the denominators are the same (like above). Then add or subtract the numerators.

So 1/2 + 1/4 = 2/4 + 1/4 = 3/4

Finding A Fraction of Something

Just multiply it by the numerator, then divide by the denominator.

So 5/8 of 120 = (120 x 5) ÷ 8 = 600 ÷ 8 = 75