Percentages, Fractions and Decimals

A fraction, a decimal and a percentage are three ways to write the same number. In NSW Year 8 maths (NESA outcome MA4‑FRC‑C‑01) this subtopic moves between all three forms, including percentages above 100% and below 1%.

You will convert values such as \(2\frac{3}{5} = 260\%\) and \(8\frac{3}{4}\% = \frac{7}{80}\), keep an exact fractional percentage like \(16\frac{2}{3}\%\) or round a recurring result with \(\approx\), and put mixed lists in order by changing everything to decimals. A sign offering \(\frac{1}{3}\) off, netball shooting rates and school results show why one common form matters. It is part of Year 8 Fractions and Percentages.