Unit fractions: word problems

Key Notes :

  • A fraction represents a part of a whole.
  • The bottom of a fraction is the number of equal parts in the whole. It is called the denominator.
  • The top of a fraction is the number of those equal parts you are talking about. It is called the numerator.

Learn with an example

đŸ˜€Samantha is preparing cheese plates for her chess club’s holiday party. She cuts a block of Gruyere into 2 equal pieces.

What fraction represents each piece of the block of Gruyere? ______

The block of Gruyere is the whole.

Samantha cuts the block of Gruyere into 2 equal pieces. The denominator of the fraction is 2.

Each piece is one equal part. The numerator of the fraction is 1.

The fraction 1/2 represents each piece of the block of Gruyere.

đŸ˜€ In a far off land, a magical gem keeps the fairy palace safe. A mean witch breaks the gem into 3 equal pieces and scatters them into the wind. Sir Goodheart is a brave knight who promises to help the fairies by finding all the pieces.

What fraction represents each piece of the gem? __

The gem is the whole.

The mean witch breaks the gem into 3 equal pieces. The denominator of the fraction is 3.

Each piece is one equal part. The numerator of the fraction is 1.

The fraction 1/3 represents each piece of the gem.

đŸ˜€ Jasper’s hobby is building robots. His oldest robot has stopped running. Jasper needs to replace some of its wires. He cuts a long wire into 4 equal pieces.

What fraction represents each piece of the wire? __

The wire is the whole.

Jasper cuts the wire into 4 equal pieces. The denominator of the fraction is 4.

Each piece is one equal part. The numerator of the fraction is 1.

The fraction 1/4 represents each piece of the wire.

Let’s practice!