8. Fractions

Lesson

You may have already looked at representing fractions as fractions bars or points on the number line.

Can you answer this question?

Here is a fraction bar.

Complete the statements below.

a

This fraction bar has ⬚ equal parts.

Worked Solution

b

Each part is \dfrac{⬚}{⬚} of the whole.

Worked Solution

Idea summary

When writing fractions:

The number of equal parts the whole is divided into is the

**denominator**(bottom number).The

**numerator**(top number) is how many parts that are shaded, and so shows the value of the fraction.

With any model of a fraction, we use:

- the
**denominator**(the bottom number of the fraction) to decide how many pieces to divide it into, and - the
**numerator**(the top number of the fraction) to shade the number of pieces.

Let's learn about fractions as areas of shapes.

Which of the following shows \dfrac{3}{4} of the area shaded?

A

B

Worked Solution

Idea summary

- The
**numerator**(top number) is the number of parts shaded to represent the fraction. - The
**denominator**(bottom number) is the number of equal parts the shape is divided into.

represents, models and compares commonly used fractions and decimals