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NSW Y8 Maths

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Pythagoras Working with Numbers Algebra Equations Geometry Area and Perimeter Volume Fractions and Percentages Investigating Data Congruent Figures Probability Rates and Ratios Graphing Linear Equations Time and Travel

NSW Y8 Maths Fractions and Percentages Fraction Problems

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Fraction Problems Theory

\begin{multicols}{2} \textbf{Example 1}\\ The school hall has 960 seats if it is \(\dfrac{3}{5}\) full how many seats are left?\\ \textbf{Example 1 solution}\\ \(\dfrac{3}{5}\) full means \(\dfrac{2}{5}\) are left\\ \(\begin{aligned} 960 \times \frac{2}{5} & =960 \times \frac{4}{10} \\ & =\frac{960}{10} \times 4 \\ & =96 \times 4 \\ & =384 \text { seats left. } \end{aligned}\) \columnbreak \textbf{Example 2}\\ Mn Brown is planning a slide show. Each picture can be shown in \(2 \dfrac{1}{2}\) seconds.\\ How many pictures can be shown in 1 minute?\\ \textbf{Example 2 solution}\\ 1 minute \(=60\) seconds\\ \(\begin{aligned} \text { Number of pictures } & =60 \div 2 \frac{1}{2} \\ & =60 \div \frac{5}{2} \\ & =60 \times \frac{2}{5} \\ & =\frac{60}{5} \times 2 \\ & =12 \times 2 \\ & =24 \text { pictures. } \end{aligned}\) \end{multicols}

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Videos relating to Fraction Problems.

  • Fraction Problems - Video - Fraction Problems 1

  • Fraction Problems - Video - Fraction Problems 2

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