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 Post subject: Year 6 fractionsPosted: Mon Oct 13, 2014 1:28 pm

Joined: Thu Apr 04, 2013 8:19 am
Posts: 107
DC had following question. All the others he could find equivalent fractions for but this stumped him. I told him to find the decimal, which worked but got into some fiddly long division I did not think a year 6 would be asked to do. Is there another way to find out this answer?

Which is bigger 1/3 or 24/32

Any help can you offer?

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 Post subject: Re: Year 6 fractionsPosted: Mon Oct 13, 2014 1:42 pm

Joined: Mon Jun 18, 2007 2:32 pm
Posts: 7138
Location: East Kent
If you reduce 24/32 to 3/4 , it makes it much easier to compare them. (think of that proportion of a circle coloured in)

You can convert both to 12ths

1/3 =4/12 3/4 = 9/12

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 Post subject: Re: Year 6 fractionsPosted: Mon Oct 13, 2014 2:15 pm

Joined: Thu Apr 04, 2013 8:19 am
Posts: 107
O ok yoyo123. Thank you. I think he is not used to simplifying one down and the other up. I will tell him to look out for all options. Thank you.

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 Post subject: Re: Year 6 fractionsPosted: Mon Oct 13, 2014 2:35 pm

Joined: Fri Oct 12, 2007 12:42 pm
Posts: 3826
This one is a nice proportion question too - 1/3 is less than a half and 24/32 is more than a half.

It is good to get children to think of what the numbers represent as this will help with future ordering questions.

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 Post subject: Re: Year 6 fractionsPosted: Mon Oct 13, 2014 2:49 pm

Joined: Thu Apr 04, 2013 8:19 am
Posts: 107
Yes that is actually how he got his answer but I wanted him to know how to work it out and it was getting so fiddling.

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 Post subject: Re: Year 6 fractionsPosted: Mon Oct 13, 2014 4:23 pm

Joined: Mon Aug 12, 2013 9:13 am
Posts: 452
Azure wrote:
DC had following question. All the others he could find equivalent fractions for but this stumped him. I told him to find the decimal, which worked but got into some fiddly long division I did not think a year 6 would be asked to do. Is there another way to find out this answer?

Which is bigger 1/3 or 24/32

Any help can you offer?

1/3 means 11/33
Any day 24 out of 33 is better (bigger) than 24 out of 32.

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 Post subject: Re: Year 6 fractionsPosted: Mon Oct 13, 2014 4:29 pm

Joined: Tue Dec 18, 2012 10:59 am
Posts: 3579
They want him to simplify the second fraction rather than find a common denominator.

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 Post subject: Re: Year 6 fractionsPosted: Mon Oct 13, 2014 5:51 pm

Joined: Fri Oct 12, 2007 12:42 pm
Posts: 3826
In my recent assessments of yr 6 children many of them converted all fractions in an ordering task rather than 'looking' and using common sense to eliminate the obvious candidates.

For a question where the fractions are obviously smaller / larger children should think before they automatically start to calculate. Reasoning is a vital mathematical skill.

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 Post subject: Re: Year 6 fractionsPosted: Tue Oct 14, 2014 6:28 am

Joined: Sat Oct 11, 2014 4:17 am
Posts: 5
If your DC doesn't want to simplify the fraction or find a common denominator, one can simply cross-multiply.

Numerator of first fraction (1) x denominator of second fraction (32) = 32, assign this number to fraction which numerator is used (1/3)
Numerator of second fraction (24) x denominator of first fraction (3) = 72, assign this number to fraction which numerator is used (24/32)

the bigger the product, the bigger the value of the fraction, which is 24/32 in this case!

Hope this helps.

Note: this method works for comparing two fractions at a time.

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 Post subject: Re: Year 6 fractionsPosted: Tue Oct 14, 2014 8:16 am

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 13994
UKGarfield - your suggested 'method' is not appropriate for this question.

This question is designed to see who can spot one is bigger than a half and the other isn't; it's a great question! It really tests understanding not remembering a method.

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