Which of these fractions is the largest - 33/56 ,4/7, 9/21, 6/14

As it is not clear which is biggest, we need to make sure that the fractions are in their simplest form. For 33/56 there no common factors so this is the simplest form. 4/7 is clearly in the simplest form. 9 and 21 have a common factor of 3, so take this out and we get 3/7. 6/14 has a common factor of 2 and so taking this out we get 3/7. Already we can see that 4/7 is bigger than 9/21 and 6/14 so we just need to compare 33/56 and 4/7. To get these fractions to have the same denominator, the easiest way is to multiply by the highest common factor. Using knowledge however that 56 = 7 x 8, I can multiply 4/7 by 8/8 to get 32/56. Thus seeing that 33/56 is the biggest fraction.

TS
Answered by Toby S. Maths tutor

2822 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

There are only red , blue and purple counters in a bag. The ratio of the number of red counters to the number of blue counters is 3 : 17. If a counter is taken randomly the probability that it is purple is 0.2 Work out the probability for it to be red.


How can I find the angle between 2 vectors?


2476 people are at a football match. The ratio of men to women is 3 : 1. How many more men than women are at the match?


I am getting stuck on how to solve Simultaneous Equations, can you explain how to do this?


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