What is 2/3 + 1/4?

When adding or subtracting fractions, we must always start by putting the fractions over the same denominator, that is the number on the bottom half of the fraction. To do this, we need to find a number which we can divide by both the current denominators 3 and 4, i.e. we need to find the lowest common denominator of 3 and 4. In this case, the lowest common denominator is 12. So we need to change both fractions so that their denominator is 12. We will start by changing 2/3 to ?/12. To do this , we need to multiply the first denominator (3) by 4 to get 12, and so we also need to multiply the numerator by 4. So, we get 2x4=8 and the fraction becomes 8/12. We must always multiply the numerator by the same number as we multiply the denominator by. For the second fraction, 1/4, we need to multiply the first denominator (4) by 3 to get the second denominator (12), so we also need to multiply the numerator by 3, giving 1x3=3 and the fraction becomes 3/12. Now we have 8/12 + 3/12 = ? To add fractions which are already in the same denominator, as these fractions are, all we need to do is add the numerators together (8+3=11) and put it over the denominator which both fractions are already in (12) and so our final answer is 11/12

CC
Answered by Catherine C. Maths tutor

212969 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A plane flew from Frankfurt to Hong Kong. The flight time was 10hours 45minutes. The average speed was 852km/h. Work out the distance the plane flew.


Prove that the square of an odd number is always 1 more than a multiple of 4


The perimeter of a right angled triangle is 72cm. The length of its sides are in the ratio 3:4:5. Work out the area of the triangle.


Lily goes on a car journey. For the first 30 min. her average speed is 40 mph. She then stops for 15 min. She then completes the journey at an average speed of 60 mph. The total journey time is 1 h. What is her overall average speed?


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:

© 2026 by IXL Learning