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Percentages, Decimals and Fractions
Course modified date: 8 Jun 2022
Learn about fractions, decimals and percentages, how to recognise and use equivalent forms of fractions, decimals and percentages and convert between fractions, decimals and percentages. This course is ideal for intermediate learners.
Introduction
Decimal numbers break down whole numbers into smaller parts. They always have a decimal point.The decimal point separates the whole numbers from parts of whole numbers. The two digits after the decimal point are tenths and hundredths.
The breakdown of a decimal is as follows:
Tens, Units (ones), Decimal Point, Tenths, Hundredths
Decimal numbers look the same regardless of what they are describing. It’s the symbol or word that tells you what it is measuring.
A fraction is a part of something. Fractions show two numbers separated between a horizontal line. Fractions are always written with the numerator above the fraction line and the denominator below the fraction line. The numerator shows how many parts of the whole are being represented. The denominator shows how many parts make the whole.
Percentages
Consider a square that is made up of 100 smaller squares. 50 of the smaller squares are red. So 50% of the large square is red. 25 of the smaller squares are blue. So 25% of the large square is blue. 25 of the smaller squares are white. So 25% of the large square is white.
If you add up the percentages for all the parts you get:
50% + 25% + 25% = 100%
Together the parts of the whole square add up to 100%.
You will learn
- Recognise and use equivalent forms of fractions, decimals and percentages
- Convert between fractions, decimals and percentages
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