How to do add or subtraction fractions?

A fraction a/b consists of a numerator (the part above the bar, a in this example) and a denominator (the part below the bar, b here). In order to add or subtract fractions, we need to make sure the denominators of all terms are the same, and add or subtract the numerators but keeping the denominators unchanged. 

For example, 2/7 + 1/7 = (2+1)/7 = 3/7. 2/7 - 1/7 = (2-1)/7 = 1/7. This is a simple example because the denominators of all terms are alreday the same. However when they are different, we need to use Least Common Muliple (LCM) to covert the fractions into ones with the same denominators, namely LCM. Then do the addtion or subtraction. Let me explain to you with an example. Solve 1/9 + 5/12. Firstly, find LCM of 9 and 12. 9 = 3 x 3. 12 = 2 x 2 x 3. So LCM(9,12) = 2 x 2 x 3 x 3 = 36. Now we need to covert both fractions into ones with denominators 36. essentially coverting1/9 = ?/36. 1/9 = (1x4)/(9x4) = 4/36. 5/12 = (5x3)/(12x3) = 15/36. So 1/9 + 5/12 = 4/36 + 15/36 = 19/36. Done! 

ML
Answered by Michelle L. Maths tutor

3429 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Work out an estimate for the value of (8.1 x 198)/0.0491


Given a spinner divided in 3 sections numbered 1, 2 and 3, and that the arc of section 2 is double that of section one (~57.6 cm), calculate pi to 2 decimal places. The radius of the spinner is 30cm and the angle sub-intended by section 3 is 30 degrees.


One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5. There are 36 male teachers at the school. Work out the total number of teachers at the school.


Expand (x + 4) (x - 8)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning