How do you add or subtract two fractions?

To add or subtract fractions, first you need to find a common denominator between the fractions. So, if you are trying to add 1/2 and 3/5, you can find the common denominator between 2 and 5 by multiplying each number on the bottom by the other number on the bottom of each fraction. 2 x 5 = 10, and 5 x 2 = 10. You now have your common denominator for adding and subtracting.
Since you have multiplied the number on the bottom of each fraction, you must do this to the top number too. Whatever you do to part of the fraction must be done to the other part. So you must remember to multiply 1 x 5 = 5, which gives you a new fraction of 1/2=5/10, and 3 x 2 = 6 to give you 3/5=6/10. Now you have a common denominator, and the action of multiplying has been applied to both sides of the fraction, so you can now add the two fractions together. 5/10 + 6/10 gives you 11/10. This can be applied to any types of fraction for both multiplying and subtracting.

EB
Answered by Emma B. Maths tutor

2577 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A stone is thrown upwards with a speed of v metres per second. The stone reaches a maximum height of h metres. h is directly proportional to v^2. When the stone is thrown at 10m/s, max height is 5m. Work out the maximum height reached when v = 24.


How to solve the following simultaneous equations? Equation 1: 3x+y=10 Equation 2: 2x-y=5


There are n sweets in a bag, 6 of which are red. The rest of the sweets are blue. Jen removes 1 sweet from the bag. Jen then takes another sweet from the bag. The probability that Hannah takes two red sweets is 1/3. Show that n²-n-90=0.


Factorise 7x^2+4x-3


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