45% as a fraction

Fraction9/20lowest terms
Decimal0.45
Percent45%

How to get there

  1. Percent means per hundred, so 45% is 45/100.
  2. Divide top and bottom by their greatest common divisor, 5: 9/20.
45 of 100 squares. A percentage IS a count of hundredths, which is why the grid is the whole story.

Common questions

What is 45% as a fraction?
45% as a fraction is 9/20. Percent means per hundred, so start with 45/100, then divide top and bottom by 5.
What is 45% as a decimal?
45% is 0.45 as a decimal. Dividing a percentage by 100 moves the point two places to the left.

The same number, other ways

9/20Everything about the fraction: equivalents, the bar model, the number line.0.45The same value as a decimal, with its own derivation.Percent → fraction chartThe whole lookup table, printable.Percent converterAny percentage, including forms like 12 1/2%.
Where this comes from. Exact rational arithmetic on the values shown — fractions are pairs of integers until display, and inch–metric conversion uses 25.4 mm to the inch, exact by definition since 1959. See the full methodology.