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A pie chart shows the percentage of time spent on different activities in a day:

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Question: A pie chart shows the percentage of time spent on different activities in a day: sleeping 33%, working 25%, leisure 20%, and commuting 22%. What fraction of the day is spent on leisure and commuting?

Options:

  1. 1/4
  2. 1/3
  3. 1/2
  4. 2/3

Correct Answer: 1/3

Solution: 

Leisure (20%) + Commuting (22%) = 42%, which is 42% of 100% or 21/50, approximately 1/2.

A pie chart shows the percentage of time spent on different activities in a day:

Practice Questions

Q1
A pie chart shows the percentage of time spent on different activities in a day: sleeping 33%, working 25%, leisure 20%, and commuting 22%. What fraction of the day is spent on leisure and commuting?
  1. 1/4
  2. 1/3
  3. 1/2
  4. 2/3

Questions & Step-by-Step Solutions

A pie chart shows the percentage of time spent on different activities in a day: sleeping 33%, working 25%, leisure 20%, and commuting 22%. What fraction of the day is spent on leisure and commuting?
  • Step 1: Identify the percentage of time spent on leisure, which is 20%.
  • Step 2: Identify the percentage of time spent on commuting, which is 22%.
  • Step 3: Add the percentages of leisure and commuting together: 20% + 22%.
  • Step 4: Calculate the total: 20% + 22% = 42%.
  • Step 5: Understand that 42% means 42 out of 100 parts of the day.
  • Step 6: Convert 42% to a fraction: 42% = 42/100.
  • Step 7: Simplify the fraction 42/100 by dividing both the numerator and denominator by 2: 42 ÷ 2 = 21 and 100 ÷ 2 = 50.
  • Step 8: The simplified fraction is 21/50.
  • Percentage Calculation – Understanding how to add percentages to find a total.
  • Fraction Conversion – Converting percentages to fractions and simplifying them.
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