Equations with Fractions

Here the numbers either side of the equals sign can be fractions too, as in \(\frac{x}{5} - \frac{1}{2} = \frac{1}{2}\). The method in NSW Year 8 maths (NESA outcome MA4‑EQU‑C‑01) stays the same: undo one operation per line on both sides, using a common denominator whenever fractions are added or subtracted.

You will solve equations with a grouped top line such as \(\frac{x + 3}{5} = -\frac{1}{2}\), mixed numerals, and fraction terms on both sides that combine, and see that \(\frac{4x}{5} = \frac{2}{3}\) can be started by multiplying or by dividing. Answers are simplified and checked by substitution. You will also use a formula with a fraction line, such as finding a missing number from a mean. It is part of Year 8 Equations.