0.35 as a Fraction

0.35 as a fraction7/20
Fraction
7/20
Percent
35%

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

0.35 = 7/20

0.35 as a fraction in simplest form is 7/20.

Step by step

  1. 0.35 has 2 decimal places, so write it over 100: 35/100.
  2. Find the greatest common divisor of 35 and 100: 5.
  3. Divide the top and bottom by 5: 35 ÷ 5 = 7, 100 ÷ 5 = 20.
  4. So 0.35 = 7/20.

Details

Fraction
7/20
Percent
35%
Nearest 1/16 (tape measure)
3/8
Reciprocal
20/7 ≈ 2.8571

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
0.328/25
0.3333/100
0.333333/1000
0.3417/50
0.357/20
0.369/25
0.3737/100
0.3753/8
0.3819/50

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Frequently asked questions

What is 0.35 as a fraction?

0.35 is 7/20 in simplest form.

How do you convert 0.35 to a fraction?

Write 0.35 as 35/100, then divide the top and bottom by 5 to get 7/20.

What is 0.35 as a percentage?

0.35 × 100 = 35%.

Is 7/20 in simplest form?

Yes — 7 and 20 have no common factor other than 1.

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