Fractions 1
Fractions

This unit deals with the important topic of fractions. These are numbers of the form when a (the numerator) and b (the denominator) are whole numbers and b ≠ 0 .

We first see what is meant by a fraction when related to geometrical shapes.

Worked Examples

1

What fraction of each shape is shaded?

(a)
Show me
(b)
Show me
(c)
Show me (as there are 7 shaded triangles and 25 in total)
(d)
Show me , but this is the same as or .

Exercises

What fraction of each of the following shapes is shaded?

(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)

What fraction of each of the following shapes is shaded?

(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)

What fraction of this rectangle has not been shaded?

What fraction of each of the following shapes is shaded?

(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)

Shade the stated fractions of the shape.

(a)
(b)
(c)
(d)
(e)

(a)

Shade of the shape, and then shade another of the shape.

(b)

What is the total fraction now shaded?

(c)

How much is left unshaded?

Sarah shades of a shape. What fraction of the shape is left unshaded?

A cake is divided into 12 equal parts. John eats of the cake and Kate eats another . What fraction of the cake is left?

A car park contains 20 spaces. There are 17 cars parked in the car park.

(a)

What fraction of the car park is full?

(b)

What fraction of the car park is empty?

Ali eats of the sweets in a packet. Tariq eats another of the sweets.

(a)

What fraction of the sweets has been eaten?

(b)

What fraction of the sweets is left?

What fraction of this shape is shaded?