Equivalence Explorer

See how one value can be written as a percent, a fraction, or a decimal with different looks, same value.

1) Converter

Type in any one box and the others update automatically.

Percent: Ñ% Fraction: Ñ Decimal: Ñ
10×10 Grid (Percent Area Model)

Shaded squares show the percent out of 100.

Number Line (0 to 1)

The point shows the value as a fraction of 1 whole.

Worksheet: Percents, Fractions & Decimals

Students can type answers below. Work is saved in the browser on this device automatically. Use Export to download answers.

1) Match each set that shows the same value.

(a) 0.6 - 60% - 3/5    (b) 0.04 - 4% - 1/25    (c) 0.125 - 12.5% - 1/8

2) Fill the table.
PercentFractionDecimal

Hint: If denominator ≤ 20, try simplifying the fraction.

3) Use a 10×10 grid idea. Shade the percent and write the fraction and decimal.

(a) 72%    (b) 37%    (c) 5%

4) Word problems.
  1. 28% of the school’s 500 students ride the bus. How many is that? Write your answer as a fraction of the school and as a decimal of 1.
  2. Which is larger: 0.48 or 47%? Explain using the number line idea.
5) Create your own!

Choose any fraction with denominator ≤ 20. Convert it to a decimal and a percent. Show at least one simplification step.

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