Maths

>

KS3

Numbers

Question

How would you multiply 1 2/3 and 1/2?

2 years ago

·

2 Replies

·

1709 views

C

Carmine Mueller


2 Answers

Grace A Profile Picture
Grace A Verified Sherpa Tutor ✓

A Friendly, Patient and Versatile Tutor/ Engineer and Data Scientist

Hi Carmine.


The first thing is usually to simplify the equation


So, you should convert the mixed fraction (1 2/3) to an improper fraction by multiplying the denominator (3) by the whole number (1) and adding the numerator (2) to the answer from your multiplication to give you the new numerator while your denominator remains the same in the improper fraction.


That is; (3 x 1) + 2 = 5 (new numerator)

Hence, the improper fraction is now 5/2


The solution to the question

So, the question becomes:

5/2 x 1/2


To get the answer, you multiply both numerators together and do the same for the denominators.


So, 5/2 x 1/2 = 5 x 1 = 5/4

2 x 2


Therefore, the answer to your question is 5/4.


I hope this helps.

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

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

Hi! Firstly you should covert the mixed fraction to an improper/top heavy fraction.

In order to do so, multiply the whole number, not included in the fraction, by the denominator. Then add the numerator.


This would give:

1 x 3 + 2 = 5


From here, the fraction can be rewritten - still with the same denominator, so 3.


5/3


Next, we need to multiply 5/3 by 1/2.


5/3 x 1/2


The numbers on top of the fraction can multiply together, giving 5 x 1 = 5.

And the denominators will also multiply together, giving 3 x 2 = 6.

Lastly, we can rewrite the fraction with the numerator over the denominator - 5/6 - and check to ensure the fraction does not require any simplifying (this example does not).

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