Write 12.5% as a decimal and fraction
- 12.5 ÷ 100 = 0.125.
- 0.125 = 125/1000 = 1/8.
- Therefore 12.5% = 0.125 = 1/8.
Fractions, decimals & percents
Translate the same value without changing the amount.
Three names for one amount
A fraction states part divided by whole. A decimal uses place value. A percent compares with 100. For example, 3/8 = 0.375 = 37.5%. The percent number is 100 times the decimal number, but the percent symbol means divide by 100, so the represented value stays the same.
See the whole and its parts.
Predict first. Change one value, then explain what stays the same and what changes. All bars use the same scale within a model.
Convert by reasoning about 100
To convert a percent to a decimal, divide its number by 100: 6% = 0.06. To convert a decimal to a percent, multiply the decimal by 100 and write %. To convert a fraction, divide numerator by denominator and then express that value per hundred. Alternatively, make an equivalent fraction with denominator 100 when convenient.
Keep exact values until rounding is needed
One third is exactly 1/3, or 0.333… repeating, or 33 1/3%. It is approximately 33.3% to the nearest tenth of a percent. Use an equals sign for exact equivalents and an approximation sign for rounded values. Convert decimals to fractions using place value, then simplify.
Worked examples
Write 7/20 as a percent
- Multiply both numerator and denominator by 5.
- 7/20 = 35/100 = 35%.
- Check: 7 ÷ 20 = 0.35.
Guided Practice
Write 0.045 as a percent and a simplified fraction.
A first hint
There are 45 thousandths; multiply the decimal by 100 to name it as a percent.
Compare your reasoning
0.045 = 4.5% = 45/1000 = 9/200.
Practice
Fresh questions · useful feedback
Build fluency, one decision at a time.
Work through eight questions. Two independent correct answers introduce a harder version; supported answers bring the next question back to the foundation. You can use hints at any time.
0 of 8 questions completed
This round saves on this device. It is practice, not a school mark.
Connections
Put 2/5, 0.42 and 39% in increasing order. Explain your comparison using one common representation.
Use it in Extreme Couponing
Record the whole, the percent multiplier and the result with units. For each coupon, use the eligible amount at that step. State whether a resale percentage means percent of cost or markup on cost.