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.

Answered by Emma B. Maths tutor

1981 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Make t the subject of this equation: x=4t-7


Solve x^2 = 4(x - 3)^2


If you are given the function f(x) = 10-3x and g(x) = (x-3)/2 , find the value of the composite function gf(4) ?


How would I solve x^2 + 7x + 10 = 0


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences