2.25 as a Fraction

2.25 as a fraction9/4
Fraction
9/4
Mixed number
2 1/4
Percent
225%

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

2.25 = 9/4

2.25 as a fraction in simplest form is 9/4, or 2 1/4 as a mixed number.

Step by step

  1. 2.25 has 2 decimal places, so write it over 100: 225/100.
  2. Find the greatest common divisor of 225 and 100: 25.
  3. Divide the top and bottom by 25: 225 ÷ 25 = 9, 100 ÷ 25 = 4.
  4. So 2.25 = 9/4.

Details

Fraction
9/4
Mixed number
2 1/4
Percent
225%
Nearest 1/16 (tape measure)
2 1/4
Reciprocal
4/9 ≈ 0.4444

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
1.68/5
1.62513/8
1.757/4
1.89/5
1.87515/8
2.259/4
2.412/5
2.55/2
2.7511/4

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Frequently asked questions

What is 2.25 as a fraction?

2.25 is 9/4 in simplest form.

How do you convert 2.25 to a fraction?

Write 2.25 as 225/100, then divide the top and bottom by 25 to get 9/4.

What is 2.25 as a percentage?

2.25 × 100 = 225%.

What is 2.25 as a mixed number?

2 1/4.

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