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Dividing a Cake

Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same total. Where were the cuts and what fraction of the whole cake was each piece?

Fractions Made Faster

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2
Congratulations to Cong, Katie and Charlie and also Josie, Dominic and George from St Nicolas CE Junior School, who all sent in correct solutions to this problem.

George has this to say on finding the larger of two fractions: What you have to do is look at the two fractions and look which is nearest to the right hand side of the wall. Then to find out by how much, you just look at the fraction wall and see which fraction will go in between the two fractions.

Katie's solution can be viewed by clicking here .

Charlie summarises the solution as follows:

$\frac{1}{3}$ is $\frac{2}{24}$ or $\frac{1}{12}$ bigger than $\frac{2}{8}$
$\frac{3}{4}$ is $\frac{1}{12}$ smaller than $\frac{5}{6}$
$\frac{1}{3}$ is $\frac{3}{6}$ or $\frac{1}{2}$ smaller than $\frac{5}{6}$
$\frac{3}{4}$ of $\frac{2}{3} = \frac{3}{4}$ of $\frac{8}{12 }= \frac{6}{12} = \frac{1}{2}$