How do I add fractions?

When adding fractions, the denominators(the numbers at the bottom of the fractions) must be the same. If they are already the same, then you simply add the numerators (the numbers at the top of the fraction) together.

For example 2/5+1/5=3/5. Here we have added the numerators 2 and 1 to make 3. The denominators are not added together and remain the same.

If the denominators are not the same, we need to make them the same. This is done by multiplying each of them by a common factor. 

For example, if we had 2/5+1/3 we would need to make the 5 and 3 the same number. This would be done by multiplying the 5 by 3 and the 3 by 5 to make both of the denominators 15. When multiplying the denominators, we also mulitply the numerators by the same number.

So, 2x3=6 and 5x3=15 which gives up 6/15 for the first fraction. Then 1x5=5 and 3x5=15 which gives us 5/15 for the second.

This leave us with 6/15+5/15. We then add the numerators to get 11/15.

Answered by Katie H. Maths tutor

3807 Views

See similar Maths 11 Plus tutors

Related Maths 11 Plus answers

All answers ▸

I’m confused by the difference between using f’(x) and f”(x) to find the minima and maxima of a curve


The function f is defined by f (x) = e ^(x+2), where x is any real number. Find f ^-1(x) and state its domain.


Expand and Simplify: 2y(3x - 8) + x(2x + y)


How would I solve y=3x, 2x+y=5 using the substitiution method?


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