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Fractional Wall

fraction wall showing halves, thirds, quarters, sixths, eighths, twelths and twenty-fourths
Using the image above, how many different ways can you find of writing $\frac{1}{2}$?
From the picture, what equivalent fractions for $\frac{1}{3}$ can you find?
Again, using the image of the fraction wall, how else could you write $\frac{3}{4}$?
What other fractions do you know that are the same as $\frac{1}{2}$?
Find some other fractions which are equivalent to $\frac{3}{4}$.
Can you find any "rules" for working out equivalent fractions?

This visual representation of fractions is very powerful. The main aim of the problem is for children to find equivalent fractions using the image, but then to deduce a "rule" (or more than one) for finding equivalent fractions without a picture. Cuisenaire rods could be used as a starter activity, perhaps using one of length 6 as the whole or you could use the Cuisenaire Environment.

Once children have completed this activity, they might like to have a go at Fractions Made Faster.