5. Fractions

Lesson

Can you identify the size of a fraction from a diagram ?

Below is a fraction bar.

What is the fraction of the coloured piece?

A

\dfrac{2}{3}

B

\dfrac{3}{4}

C

\dfrac{1}{4}

D

\dfrac{1}{3}

Worked Solution

Idea summary

When writing fractions using fraction bars:

- The denominator shows the number of equal parts the whole is divided into.
- The numerator shows how many parts are shaded.

This video looks at equivalent fractions up to one whole.

Fill in the blank to find an equivalent fraction to \dfrac{3}{6}:\dfrac{3}{6}=\dfrac{1}{⬚}

Worked Solution

Idea summary

To find an equivalent fraction, we can divide the numerator and denominator by the same number.

This video shows us how to create an equivalent fraction.

Fill in the blank to find an equivalent fraction to \dfrac{5}{8}:\dfrac{5}{8}=\dfrac{50}{⬚}

Worked Solution

Idea summary

To find an equivalent fraction, we can multiply the numerator and denominator by the same number.

This video shows us how to handle equivalent fractions with mixed numbers.

Complete the table with the improper fractions that are equivalent in value to 2 \dfrac{1}{6}.

Mixed Number | Improper fraction | Equivalent fraction |
---|---|---|

\text{}\\ 2\dfrac{1}{6} | \text{}\\ \dfrac{⬚}{6} | \text{}\\ \dfrac{⬚}{18} |

Worked Solution

Idea summary

To find an equivalent fraction for a mixed number, first convert the mixed number to an improper fraction, then multiply (or divide) both the numerator and the denominator by the same number.

Compare fractions with related denominators and locate and represent them on a number line