Lesson

Do you recall how we can write fractions different ways, using equivalent fractions ?

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

\dfrac{1}{3} = \dfrac{⬚}{6}

Worked Solution

Idea summary

Equivalent fractions represent the same size, but have different numerators and denominators.

We can express, or write, fractions as percentages, by thinking of them with 100 as the denominator. Let's see how to express a fraction as a percentage.

What percentage of the figure is shaded blue?

Worked Solution

Idea summary

We can convert any fraction into a percentage by finding its equivalent fraction that has a denominator of 100. After this, we can write the value in the numerator followed by the \% symbol to represent the percentage.

We may need to write a percentage as a fraction, so this video shows you how to do that.

Express 55\% as a fraction.

Worked Solution

Idea summary

We can convert any fraction into a percentage by finding its equivalent fraction that has a denominator of 100.

What if we have a fraction that doesn't have 100 as its denominator? Let's see how we can express that as a percentage.

Express the fraction \dfrac{10}{25} as a percentage.

Worked Solution

Idea summary

A shaded diagram, a fraction and a percentage can all be used to represent the same value.

If our denominator is not 100, we can find an equivalent fraction with 100 as the denominator, and then express it as a percentage.

compares, orders and calculates with fractions, decimals and percentages