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Doughnut

How can you cut a doughnut into 8 equal pieces with only three cuts of a knife?

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Rectangle Tangle

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?

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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

You may like to try our Fractional Wall problem before this one.

fraction wall of halves, thirds, quarters, sixths, eighths, twelfths and twenty-fourths

Using the fraction wall above, can you say which is bigger, $\frac{1}{3}$ or $\frac{2}{8}$? By how much?

Which is smaller, $\frac{5}{6}$ or $\frac{3}{4}$? By how much?

What is the difference between $\frac{5}{6}$ and $\frac{1}{3}$?

What is three quarters of $\frac{2}{3}$? Can you explain how you worked this out?