Percentages as Fractions

Reason For Learning

We often hear people talking about percentages: 76 per cent for a Mathematics test, a GST of 10% or bank interest up half a per cent are just a few examples. Per cent is also used in reference to people’s preferences or behaviours, such as 60% of students take a bus to school or 80% of house- holds have a computer. The term per cent means ‘per hundred’. The symbol for per cent is %. For example, 50% means 50 50 out of 100. Written as a fraction this is - . 100 Written as a decimal this is 0.50 (50 hundredths). So a percentage is another way of writing a fraction out of one hundred or of writing the number of hundredths in a decimal.

Learning Intention

To be albe to change Percentages to Fractions and Fractions to Percentages.

Key Vocabulary Terms

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ACMNA157 Level 7

Connect fractions, decimals and percentages and carry out simple conversions

ACMNA158 Level 7

Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.

ACMNA187 Level 8

Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies