Summary of Finding a Fraction of an Amount

Main Ideas and Concepts:

Methodology:

Detailed Instructions:

  1. Example Calculations:
    • Half of 60: Split 60 into 2 parts: 60 ÷ 2 = 30 (Half is 30).
    • One Third of 60: Split 60 into 3 parts: 60 ÷ 3 = 20 (One third is 20).
    • One Quarter of 60: Split 60 into 4 parts: 60 ÷ 4 = 15 (One quarter is 15).
    • One Fifth of 60: Split 60 into 5 parts: 60 ÷ 5 = 12 (One fifth is 12).
    • Two Thirds of 15: Split 15 into 3 parts: 15 ÷ 3 = 5, then 2 parts: 2 x 5 = 10.
    • Three Quarters of 40: Split 40 into 4 parts: 40 ÷ 4 = 10, then 3 parts: 3 x 10 = 30.
  2. Using a Calculator: Replace "of" with a multiplication sign (e.g., to find two-thirds of 15, calculate 2/3 x 15).
  3. Solving for Unknowns: If given that a fraction of a number equals a specific value, reverse the process to find the total number.
    • Example: If 2/3 of a number is 24, then find 1/3 by dividing 24 by 2, then multiply by 3 to find the total.
  4. Word Problems: Apply the same principles to real-life scenarios, such as calculating expenses from a total amount.

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