Convert between percents , fractions and decimals

πŸ”’ What is a Percent?

  • Percent means β€œper 100.”
  • Example: 45% = 45 out of 100 ➑️ 45/100
  • Emoji tip: πŸ’― = percent!

βž— Percent β†’ Fraction

  • Write the percent over 100.
  • Simplify the fraction if possible.
  • Example: 25% = 25/100 = 1/4 πŸŽ‰

πŸ”„ Fraction β†’ Percent

  • Convert the fraction to a decimal by dividing.
  • Multiply the decimal by 100 and add % sign.
  • Example: 1/5 = 0.2 β†’ 0.2 Γ— 100 = 20% 🌈

πŸ”’ Percent β†’ Decimal

  • Move the decimal point 2 places to the left.
  • Example: 75% = 0.75 ✨
  • Trick: % sign ❌ β†’ divide by 100.

πŸ”„ Decimal β†’ Percent

  • Move the decimal 2 places to the right.
  • Add the % sign.
  • Example: 0.08 = 8% 🎯
  • Trick: multiply by 100.

βž— Decimal β†’ Fraction

  • Write the number over its place value.
  • Example: 0.6 = 6/10 = 3/5 🌟
  • Example: 0.25 = 25/100 = 1/4

πŸ”„ Fraction β†’ Decimal

  • Divide numerator Γ· denominator.
  • Example: 3/4 = 0.75
  • If it keeps repeating, show repeating bar: 1/3 = 0.333… = 0.3Μ… πŸ”

🎯 Common Conversions to Remember

FractionDecimalPercent
1/20.550%
1/40.2525%
3/40.7575%
1/50.220%
1/100.110%

🌟 Learning these makes all conversions faster!


πŸ’‘ Real-Life Examples

  • Discounts: 20% off 🎁
  • Marks: 80/100 = 80% πŸ“š
  • Money: converting interest rates πŸ’°

πŸŽ‰ Final Tip

Percent ↔ Fraction ↔ Decimal conversions become super easy with practice!
Think of them as three forms of the same number πŸ”πŸ”’βœ¨

Learn with an example

let’s practice!