In a survey, a group of students were asked about their favourite pastime. The pie chart shows their choices. What fraction of the students liked to read? Express your answer in its simplest form. Ans: ___

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Worked solution

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1. Determine the percentage of students who like shopping and playing games

The 'Shopping' sector has a right-angle symbol, which represents 90∘90^\circ out of 360∘360^\circ, or 25%25\%.
The 'Playing games' sector also has a right-angle symbol, representing 25%25\%.

2. Calculate the percentage of students who like to read

Percentage for reading = 100%−40%−25%−25%=10%100\% - 40\% - 25\% - 25\% = 10\%

3. Convert the percentage to a fraction in its simplest form

Fraction = 10100=110\frac{10}{100} = \frac{1}{10}

Answer

110\frac{1}{10}

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