Math with Mr. J: Converting Fractions to Percents

Steps to Convert Fractions to Percents

• Divide the Numerator by the Denominator
  • This step converts the fraction to a decimal.
• Multiply the Decimal by 100
  • This is done by moving the decimal point two places to the right.
  • "Percent" means "per 100", which is why we multiply by 100.

Example Problems

Example 1: ( \frac{2}{5} )

1. Divide 2 by 5.
   • Extend with a decimal to divide: 2 becomes 2.0.
   • 20 divided by 5 equals 4.
   • Result: 0.4
2. Multiply 0.4 by 100 by moving the decimal two places to the right.
   • Result: 40%

Example 2: ( \frac{17}{20} )

1. Result of division: 0.85.
2. Multiply by 100: move decimal two places to the right.
   • Result: 85%

Example 3: ( \frac{1}{6} )

• Repeating Decimal

1. Divide 1 by 6 to get a repeating decimal: 0.1666...
2. Multiply by 100 to get 16.666...
   • Rounded options:
     • Nearest whole percent: 17%
     • Tenths place: 16.7%

Example 4: ( \frac{1}{3} )

• Repeating Decimal

1. Result of division: 0.333...
2. Multiply by 100 to get 33.333...
   • Rounded options:
     • Nearest whole percent: 33%
     • Tenths place: 33.3%

Key Points

• When converting fractions to percents, remember to divide first then multiply by 100.
• For repeating decimals, determine how you want to represent the answer (e.g., round to the nearest whole number or specific decimal place).

Conclusion

The process of converting fractions to percents involves simple division and multiplication, with special consideration for repeating decimals. Understanding these steps helps in accurately converting and representing fractional values as percentages.