0.45 as a Fraction

0.45 as a fraction9/20
Fraction
9/20
Percent
45%

Exact fraction = decimal digits over a power of ten, reduced by the greatest common divisor.

0.45 = 9/20

0.45 as a fraction in simplest form is 9/20.

Step by step

  1. 0.45 has 2 decimal places, so write it over 100: 45/100.
  2. Find the greatest common divisor of 45 and 100: 5.
  3. Divide the top and bottom by 5: 45 ÷ 5 = 9, 100 ÷ 5 = 20.
  4. So 0.45 = 9/20.

Details

Fraction
9/20
Percent
45%
Nearest 1/16 (tape measure)
7/16
Reciprocal
20/9 ≈ 2.2222

How it works

To turn a decimal into a fraction, count the digits after the decimal point, write the digits over 10, 100, 1,000 and so on, then simplify by dividing the numerator and denominator by their greatest common divisor. A decimal that ends (terminates) always converts to an exact fraction; a decimal that repeats forever, such as 0.333…, equals a fraction like 1/3.

Nearby values

DecimalFraction
0.4221/50
0.4343/100
0.43757/16
0.4411/25
0.459/20
0.4623/50
0.4747/100
0.4812/25
0.4949/100

Related conversions

Frequently asked questions

What is 0.45 as a fraction?

0.45 is 9/20 in simplest form.

How do you convert 0.45 to a fraction?

Write 0.45 as 45/100, then divide the top and bottom by 5 to get 9/20.

What is 0.45 as a percentage?

0.45 × 100 = 45%.

Is 9/20 in simplest form?

Yes — 9 and 20 have no common factor other than 1.

Related tools