2.4 as a Fraction

2.4 as a fraction12/5
Fraction
12/5
Mixed number
2 2/5
Percent
240%

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

2.4 = 12/5

2.4 as a fraction in simplest form is 12/5, or 2 2/5 as a mixed number.

Step by step

  1. 2.4 has 1 decimal place, so write it over 10: 24/10.
  2. Find the greatest common divisor of 24 and 10: 2.
  3. Divide the top and bottom by 2: 24 ÷ 2 = 12, 10 ÷ 2 = 5.
  4. So 2.4 = 12/5.

Details

Fraction
12/5
Mixed number
2 2/5
Percent
240%
Nearest 1/16 (tape measure)
2 3/8
Reciprocal
5/12 ≈ 0.4167

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 2.4 as a fraction?

2.4 is 12/5 in simplest form.

How do you convert 2.4 to a fraction?

Write 2.4 as 24/10, then divide the top and bottom by 2 to get 12/5.

What is 2.4 as a percentage?

2.4 × 100 = 240%.

What is 2.4 as a mixed number?

2 2/5.

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