Convert between percents , fractions and decimals
key notes :
π’ What is a Percent?
- Percent means βper 100.β
- Example: 45% = 45 out of 100 β‘οΈ 45/100
- Emoji tip: π― = percent!
β Percent β Fraction
- Write the percent over 100.
- Simplify the fraction if possible.
- Example: 25% = 25/100 = 1/4 π
π 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% π
π’ Percent β Decimal
- Move the decimal point 2 places to the left.
- Example: 75% = 0.75 β¨
- Trick: % sign β β divide by 100.
π Decimal β Percent
- Move the decimal 2 places to the right.
- Add the % sign.
- Example: 0.08 = 8% π―
- Trick: multiply by 100.
β Decimal β Fraction
- Write the number over its place value.
- Example: 0.6 = 6/10 = 3/5 π
- Example: 0.25 = 25/100 = 1/4
π Fraction β Decimal
- Divide numerator Γ· denominator.
- Example: 3/4 = 0.75
- If it keeps repeating, show repeating bar: 1/3 = 0.333β¦ = 0.3Μ π
π― Common Conversions to Remember
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 1/10 | 0.1 | 10% |
π Learning these makes all conversions faster!
π‘ Real-Life Examples
- Discounts: 20% off π
- Marks: 80/100 = 80% π
- Money: converting interest rates π°
π Final Tip
Percent β Fraction β Decimal conversions become super easy with practice!
Think of them as three forms of the same number ππ’β¨
Learn with an example
How do you write 90% as a decimal?
——–.
Divide the number in front of the percent sign by 100. Move the decimal two places to the left.
90 Γ· 100 = 0.9
How do you write 17% as a fraction?
———.
Write the number in front of the percent sign over 100.
17/100=0.17
How do you write 50% as a fract
——–.
Write the number in front of the percent sign over 100.
50/100=0.5
Write the answer in simplest form.
50/100=1/2
let’s practice!

