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There are 118 NRICH Mathematical resources connected to Fractions, you may find related items under Fractions, decimals, percentages, ratio and proportion.
Broad Topics > Fractions, decimals, percentages, ratio and proportion > FractionsIs there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
Watch this animation. What do you see? Can you explain why this happens?
Choose some fractions and add them together. Can you get close to 1?
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?
Can you compare these bars with each other and express their lengths as fractions of the black bar?
What fraction of the black bar are the other bars? Have a go at this challenging task!
This task offers opportunities to subtract fractions using A4 paper.
Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
Twisting and turning with ropes can be encoded mathematically using fractions. Can you find a way to get back to zero?
Can you find different ways of showing the same fraction? Try this matching game and see.
After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?
Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?
A task which depends on members of the group noticing the needs of others and responding.
How much of the square is coloured blue? How will the pattern continue?
Here is a chance to play a fractions version of the classic Countdown Game.
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.
Can all unit fractions be written as the sum of two unit fractions?
It would be nice to have a strategy for disentangling any tangled ropes...
Take a look at the video and try to find a sequence of moves that will untangle the ropes.
Imagine you were given the chance to win some money... and imagine you had nothing to lose...
Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?
The scale on a piano does something clever : the ratio (interval) between any adjacent points on the scale is equal. If you play any note, twelve points higher will be exactly an octave on.
A jigsaw where pieces only go together if the fractions are equivalent.
This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.
Can you see how to build a harmonic triangle? Can you work out the next two rows?
Using the picture of the fraction wall, can you find equivalent fractions?
An environment which simulates working with Cuisenaire rods.
Can you find the pairs that represent the same amount of money?
Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.
A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
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?
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
There are lots of ideas to explore in these sequences of ordered fractions.
What do you notice about these families of recurring decimals?
These pictures show squares split into halves. Can you find other ways?
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
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.
The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.
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 shapes?
Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?
A mother wants to share a sum of money by giving each of her children in turn a lump sum plus a fraction of the remainder. How can she do this in order to share the money out equally?
Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?
Can you work out how many apples there are in this fruit bowl if you know what fraction there are?
Can you split each of the shapes below in half so that the two parts are exactly the same?
There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?