Equivalent fractions, decimals and percentages

There are 20 NRICH Mathematical resources connected to Equivalent fractions, decimals and percentages

problem

Favourite

Terminating or not

Age

11 to 14

Challenge level

Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?

$Matching fractions$

problem

Favourite

Matching fractions

Age

7 to 11

Challenge level

Can you find different ways of showing the same fraction? Try this matching game and see.

problem

Favourite

Fractional triangles

Age

7 to 11

Challenge level

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

problem

Favourite

Fractional wall

Age

7 to 11

Challenge level

Using the picture of the fraction wall, can you find equivalent fractions?

problem

Favourite

Fractions jigsaw

Age

11 to 14

Challenge level

A jigsaw where pieces only go together if the fractions are equivalent.

problem

Favourite

Round and round and round

Age

11 to 14

Challenge level

Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?

problem

Favourite

Power match

Age

16 to 18

Challenge level

Can you locate these values on this interactive logarithmic scale?

problem

Favourite

The greedy algorithm

Age

11 to 14

Challenge level

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.

problem

Favourite

Doughnut percents

Age

7 to 14

Challenge level

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

problem

Favourite

Bryony's triangle

Age

7 to 11

Challenge level

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?

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Equivalent fractions, decimals and percentages

Terminating or not

Matching fractions

Fractional triangles

Fractional wall

Fractions jigsaw

Round and round and round

Power match

The greedy algorithm

Doughnut percents

Bryony's triangle