Fractions

There are 131 NRICH Mathematical resources connected to Fractions
Tiny Nines
problem
Favourite

Tiny nines

Age
14 to 16
Challenge level
filled star filled star empty star
What do you notice about these families of recurring decimals?
Fraction Fascination
problem
Favourite

Fraction fascination

Age
7 to 11
Challenge level
filled star filled star filled star

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

Repetitiously
problem
Favourite

Repetitiously

Age
14 to 16
Challenge level
filled star filled star empty star
Can you express every recurring decimal as a fraction?
Fractions jigsaw
problem
Favourite

Fractions jigsaw

Age
11 to 14
Challenge level
filled star empty star empty star
A jigsaw where pieces only go together if the fractions are equivalent.
Keep it simple
problem
Favourite

Keep it simple

Age
11 to 14
Challenge level
filled star empty star empty star
Can all unit fractions be written as the sum of two unit fractions?
Pumpkin Pie Problem
problem
Favourite

Pumpkin pie problem

Age
7 to 11
Challenge level
filled star filled star empty star

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?

Farey Sequences
problem
Favourite

Farey sequences

Age
11 to 14
Challenge level
filled star filled star empty star
There are lots of ideas to explore in these sequences of ordered fractions.
the greedy algorithm
problem
Favourite

The greedy algorithm

Age
11 to 14
Challenge level
filled star filled star filled star
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.
Equal Temperament
problem
Favourite

Equal temperament

Age
14 to 16
Challenge level
filled star filled star filled star
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.