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A pie chart shows the distribution of expenses in a household. If the rent is re

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Question: A pie chart shows the distribution of expenses in a household. If the rent is represented by 120 degrees, what fraction of the total expenses does it represent? (2023)

Options:

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

Correct Answer: 1/3

Exam Year: 2023

Solution: 

120 degrees out of 360 degrees is 120/360 = 1/3.

A pie chart shows the distribution of expenses in a household. If the rent is re

Practice Questions

Q1
A pie chart shows the distribution of expenses in a household. If the rent is represented by 120 degrees, what fraction of the total expenses does it represent? (2023)
  1. 1/3
  2. 1/4
  3. 1/2
  4. 2/3

Questions & Step-by-Step Solutions

A pie chart shows the distribution of expenses in a household. If the rent is represented by 120 degrees, what fraction of the total expenses does it represent? (2023)
  • Step 1: Understand that a pie chart represents a whole circle, which is 360 degrees.
  • Step 2: Identify the portion of the pie chart that represents rent, which is given as 120 degrees.
  • Step 3: To find the fraction of the total expenses that rent represents, divide the rent degrees by the total degrees of the pie chart: 120 degrees / 360 degrees.
  • Step 4: Simplify the fraction 120/360. Both numbers can be divided by 120.
  • Step 5: After dividing, you get 1/3. This means rent represents 1/3 of the total expenses.
  • Fraction of a Circle – Understanding that a pie chart represents a whole (360 degrees) and calculating the fraction represented by a specific angle.
  • Proportions – Calculating the proportion of a part (rent) to the whole (total expenses) using degrees.
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