simplfy x/3 + x/4

When simplifying algebraic fractions, first times all the components by the denominator (number on the bottom) of the first component. In this case, that is 3. x/3 times 3 = x and x/4 time 3 = 3x/4. This is because you treat 3 as 3/1 and then time the tops and bottoms together. 3 times x = 3x and 1 times 4 = 4. Therefore you get 3x/4.

Now you have x + 3x/4. Next you times all the components by the denominator of the second component. This is 4. 4 times x = 4x. 4 times 3x/4 = 3x. This is because you are both dividing and multiplying by 4 so they cancel each other out. Therefore you get 4x + 3x. Now it is simple algebra which you add together to get 7x as your final answer.

TM
Answered by Tabitha M. Maths tutor

4103 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A conical vase of base radius 5cm and height 20cm is filled with 200ml of water, how high is the water level? Give your answer to 3 significant figures.


Find the coefficient of the constant term of the expression (2x+1/(4x^3 ))^8


x^2-12x+20=0 Find x


Why is MC=MR at the profit maximizing level of output?


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences