Converting fractions to percentages

To convert a fraction to a percentage:

• Divide the numerator (top number) by the denominator (bottom number) to get a decimal.
• Multiply the decimal by 100% to get the percentage.

Example conversions

Convert \frac34 to a percentage

• Divide the numerator by the denominator:
  • 3 \div 4 = 0.75.
• Multiply the decimal by 100%:
  • 0.75 \times 100\% = 75\%.
• Answer: \frac34 = 75\%.

Convert \frac25 to a percentage

• Divide the numerator by the denominator:
  • 2 \div 5 = 0.4.
• Multiply the decimal by 100%:
  • 0.4 \times 100\% = 40\%.
• Answer: \frac25 = 40\%.

Convert \frac7{10} to a percentage

• Divide the numerator by the denominator:
  • 7 \div 10 = 0.7.
• Multiply the decimal by 100%:
  • 0.7 \times 100\% = 70\%.
• Answer: \frac7{10} = 70\%.

Convert \frac85 to a percentage

• Divide the numerator by the denominator:
  • 8 \div 5 = 1.6.
• Multiply the decimal by 100%:
  • 1.6 \times 100\% = 160\%.
• Answer: \frac85 = 160\%.

Convert \frac1{20} to a percentage

• Divide the numerator by the denominator:
  • 1 \div 20 = 0.05.
• Multiply the decimal by 100%:
  • 0.05 \times 100\% = 5\%.
• Answer: \frac1{20} = 5\%.