Fractions
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problemFavouriteFractions Rectangle
The large rectangle is divided into quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
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problemFavouriteSame Answer
Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
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problemFavouriteEgyptian Fractions
The Egyptians expressed all fractions as the sum of different unit fractions. Here is a chance to explore how they could have written different fractions.
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problemFavouriteFarey Sequences
There are lots of ideas to explore in these sequences of ordered fractions.
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problemFavouritePeaches Today, Peaches Tomorrow...
A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?
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problemFavouriteTwisting and Turning
Take a look at the video and try to find a sequence of moves that will untangle the ropes.
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problemFavouriteTerminating or Not
Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
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problemFavouriteA Chance to Win?
Imagine you were given the chance to win some money... and imagine you had nothing to lose...
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problemFavouriteThe Greedy Algorithm
The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.