4.5 as a Fraction

4.5 as a fraction9/2
Fraction
9/2
Mixed number
4 1/2
Percent
450%

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

4.5 = 9/2

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

Step by step

  1. 4.5 has 1 decimal place, so write it over 10: 45/10.
  2. Find the greatest common divisor of 45 and 10: 5.
  3. Divide the top and bottom by 5: 45 ÷ 5 = 9, 10 ÷ 5 = 2.
  4. So 4.5 = 9/2.

Details

Fraction
9/2
Mixed number
4 1/2
Percent
450%
Nearest 1/16 (tape measure)
4 1/2
Reciprocal
2/9 ≈ 0.2222

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
1.89/5
1.87515/8
2.259/4
2.412/5
2.55/2
2.7511/4
3.57/2
3.7515/4
4.59/2

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Frequently asked questions

What is 4.5 as a fraction?

4.5 is 9/2 in simplest form.

How do you convert 4.5 to a fraction?

Write 4.5 as 45/10, then divide the top and bottom by 5 to get 9/2.

What is 4.5 as a percentage?

4.5 × 100 = 450%.

What is 4.5 as a mixed number?

4 1/2.

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