Converting Fractions to Percents: Step-by-Step Guide

Objective

Learn how to convert fractions to percent by first changing them to decimals and then to percent.

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Example 1: Convert 1/4 to a Percent

Step 1: Convert the Fraction to a Decimal

• Divide the numerator by the denominator:
  ( 1 \div 4 )
  • 4 does not go into 1. Add a decimal point and a zero → 1.0
  • 4 goes into 10 two times (4 × 2 = 8)
  • Subtract: 10 - 8 = 2
  • Bring down another zero → 20
  • 4 goes into 20 five times (4 × 5 = 20)
  • Subtract: 20 - 20 = 0 (No remainder)
• Result: ( 1/4 = 0.25 ) as a decimal

Step 2: Convert the Decimal to a Percent

• Multiply the decimal by 100:
  ( 0.25 \times 100 = 25% )

Final Answer:
( 1/4 = 25% )

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Example 2: Convert 3/8 to a Percent

Step 1: Convert the Fraction to a Decimal

• Divide the numerator by the denominator:
  ( 3 \div 8 )
  • 8 does not go into 3. Add a decimal point and zero → 3.0
  • 8 goes into 30 three times (8 × 3 = 24)
  • Subtract: 30 - 24 = 6
  • Bring down a zero → 60
  • 8 goes into 60 seven times (8 × 7 = 56)
  • Subtract: 60 - 56 = 4
  • Bring down a zero → 40
  • 8 goes into 40 five times (8 × 5 = 40)
  • Subtract: 40 - 40 = 0 (No remainder)
• Result: ( 3/8 = 0.375 ) as a decimal

Step 2: Convert the Decimal to a Percent

• Multiply the decimal by 100:
  ( 0.375 \times 100 = 37.5% )

Final Answer:
( 3/8 = 37.5% )

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Summary Table

| Fraction | Decimal | Percent | |----------|----------|----------| | 1/4 | 0.25 | 25% | | 3/8 | 0.375 | 37.5% |

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Key Points

• To convert a fraction to a percent:
  1. Divide to get a decimal.
  2. Multiply the decimal by 100.
• This process can be used for any fraction to find its percent value.