Maths

>

KS3

Numbers

Question

How would you multiply 5/6 and 2/7?

4 years ago

·

8 Replies

·

4244 views

E

Everardo Anderson


8 Answers

A
Aaria Merchant

to multiply fractions you will need to multiply the numerators (top numbers) together and separately multiply the denominators (bottom numbers) together.


5 x 2 = 10 and 6 x 7 = 42


so your fraction would be 10/42. However, you must give your answer in its simplest form.


the highest common factor between 10 and 42 is 2, so your final answer would be 5/21.

Elizabeth  Profile Picture
Elizabeth Verified Sherpa Tutor ✓

GCSE and 11+ Maths Tutor with over 7 years experience in the industry

To multiply fractions, multiply the numerators by each other and multiply the denominators by each other.

5*2=10

6*7=42

so 10/42 and which simplifies to 5/21

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
B
Beau Avellanosa

Multiply the numerator digits together and the denominator digits together. eg 5 x 2 = 10 () / 6 x 7 =42 . Ans =10/42

Videeka P Profile Picture
Videeka P Verified Sherpa Tutor ✓

Specialise in Mathematics GCSE, with 7 years of experience!

3 reviews

Hi Everardo!

To multiply 5/6 and 2/7 multiply the numerators by each other (5*2) and the denominators (6*7).


This gives us the answer 10/42


To simplify, find the greatest common factor (GCF) of the numerator and denominator. In this case, the GCF of 10 and 42 is 2.

Divide both the numerator and denominator by the GCF (2).

10/42 ÷ 2/2 = (10 ÷ 2) / (42 ÷ 2) = 5/21


So, when you multiply 5/6 and 2/7, you get the simplified fraction 5/21 as the result.

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
Jane W Profile Picture
Jane W Verified Sherpa Tutor ✓

Experienced Maths Tutor - KS2, KS3, GCSE and iGCSE

14 reviews

Here are the steps that you need to take:

P8z0hwwp+0x6gAAAABJRU5ErkJggg==

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
P
Peter Showemimo

To multiply two fractions, you simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. So, for 5/6 x 2/7


Multiply the numerators:

5 x 2 =10


Multiply the denominators:

6 x 7 =42


So  5/6 x 2/7 = 10/42


Next what you want to do is simplify the fraction by dividing both the numerator and denominator by a number that goes into both ( which is called the greatest common divisor or GCD), which is 2:

10/42 = 5/21


H
Heidi Osmer
  • Multiply the numerator (top number) of the 1st fraction by the numerator of the 2nd fraction - ie. 5x2=10
  • Multiply the denominator (bottom number) of the 1st fraction by the denominator of the 2nd fraction - ie. 6x7=42
  • That leaves us with 10/42
  • Simplify by dividing by 2 to get 5/21, which is our final answer


Kim N Profile Picture
Kim N Verified Sherpa Tutor ✓

Struggling with maths? I am happy to make it make sense to you!

Hi Everado - multiplying fractions is the easy one. You multiply the top numbers ( 5x2 =10) that 10 goes on the top of your fraction, then you multiply along the bottom (6x7 =42) that 42 goes on the bottom of the fraction. You end up with 10/42, which you can simplify by halving both top and bottom numbers to 5/21. I hope that helped you.

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.

Think you can help?

More Maths KS3 Questions
Sherpa Badge

Need a KS3 Maths tutor?

Get started with a free online introductions with an experienced and qualified online tutor on Sherpa.

Find a KS3 Maths Tutor