Math Problem Statement

Percentages to fractions simple short

Solution

Converting percentages to fractions is also a straightforward process. Here's how you can do it:

Method:

  1. Write the percentage as a fraction with the denominator 100.
  2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

Examples:

  1. Convert 50% to a fraction:

    • Step 1: 50%=5010050\% = \frac{50}{100}
    • Step 2: Simplify 50100\frac{50}{100} by dividing both numerator and denominator by 50:
      • 50÷50100÷50=12\frac{50 \div 50}{100 \div 50} = \frac{1}{2}
  2. Convert 75% to a fraction:

    • Step 1: 75%=7510075\% = \frac{75}{100}
    • Step 2: Simplify 75100\frac{75}{100} by dividing both numerator and denominator by 25:
      • 75÷25100÷25=34\frac{75 \div 25}{100 \div 25} = \frac{3}{4}
  3. Convert 20% to a fraction:

    • Step 1: 20%=2010020\% = \frac{20}{100}
    • Step 2: Simplify 20100\frac{20}{100} by dividing both numerator and denominator by 20:
      • 20÷20100÷20=15\frac{20 \div 20}{100 \div 20} = \frac{1}{5}
  4. Convert 40% to a fraction:

    • Step 1: 40%=4010040\% = \frac{40}{100}
    • Step 2: Simplify 40100\frac{40}{100} by dividing both numerator and denominator by 20:
      • 40÷20100÷20=25\frac{40 \div 20}{100 \div 20} = \frac{2}{5}

Would you like more details or have any questions?

Additional Practice Questions:

  1. Convert 25% to a fraction.
  2. Convert 60% to a fraction.
  3. Convert 10% to a fraction.
  4. Convert 80% to a fraction.
  5. Convert 90% to a fraction.
  6. Convert 15% to a fraction.
  7. Convert 35% to a fraction.
  8. Convert 55% to a fraction.

Tip:

When simplifying fractions, always look for the greatest common divisor (GCD) to make the fraction as simple as possible.

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Math Problem Analysis

Mathematical Concepts

Fractions
Percentages
Simplification

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8