Operations with fractions

By Roshni Patel

How to Add and Subtract Fractions



2/3+1/2 is the fraction

  1. Change both the DENOMINATORS (Bottom number of each fraction) to a common denominator, which is 6, as this is the number both 3 and 2 go into, so 2/3+1/2 becomes 2/6+1/6.
  2. Change both the NUMERATORS (Top number of each fraction), so for 2/3, see how many times 3 goes into 6. The answer is 2, so you times the numerator by 2 - so 2/3 becomes 4/6. Same for the next fraction, 2 goes into 6, 3 times, so you times the numerator by 3, so 1/2 becomes 3/6.
  3. This equation becomes 4/6+3/6, you then add them together, 4/6+3/6= 7/6 is the answer. Remember when adding, you only add the numerators together, the denominators remain the same.
  4. Since 7/6 is an improper fraction (this means that the numerator is larger than the denominator) so you have to change it to a mixed number. 6 goes into 7, once with a remainder 1, which would be 1 1/6.


  1. When subtracting fractions, follow steps 1 and 2, then instead of adding you subtract. Remember the bigger fraction starts in the front and the smaller fraction in the back.
  2. Also don't forget to leave the denominators the same.
  3. Remember that improper fraction answers need to be changed to mixed numbers.

Multiplying Fractions

Dividing fractions