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Adding & Subtracting Fractions

Adding fractions - Its important to understand that if you multiply the top and bottom of a fraction by the same value then the fractions value doesn't change 

To add fractions we must have a common denominator, the same number on the bottom of each fraction, we can achieve this by multiplying the whole fraction. 

If we are adding 4/5 and 2/10 then we first find the lowest common multiple of the denomenators. In this case it is 6. We would now multiply the first fraction (4/5) by two, making 8/10. Now we have common denomenators, we can simply add the two fractions together. 8/10 + 2/10 = 10/10 or 1.

Subtracting Fractions - This goes by the same method but you just siubtract the two fractions instead of adding.

Example: 8/15 - 2/5 

  1. 2/5 x 3 = 6/15 

  2. 8/15 - 6/15 = 2/15 

  3. Answer = 2/15