0.875 as a Fraction

0.875 as a fraction7/8
Fraction
7/8
Percent
87.5%

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

0.875 = 7/8

0.875 as a fraction in simplest form is 7/8.

Step by step

  1. 0.875 has 3 decimal places, so write it over 1000: 875/1000.
  2. Find the greatest common divisor of 875 and 1000: 125.
  3. Divide the top and bottom by 125: 875 ÷ 125 = 7, 1000 ÷ 125 = 8.
  4. So 0.875 = 7/8.

Details

Fraction
7/8
Percent
87.5%
Nearest 1/16 (tape measure)
7/8
Reciprocal
8/7 ≈ 1.1429

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
0.8421/25
0.8517/20
0.8643/50
0.8787/100
0.8757/8
0.8822/25
0.8989/100
0.99/10
0.9191/100

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Frequently asked questions

What is 0.875 as a fraction?

0.875 is 7/8 in simplest form.

How do you convert 0.875 to a fraction?

Write 0.875 as 875/1000, then divide the top and bottom by 125 to get 7/8.

What is 0.875 as a percentage?

0.875 × 100 = 87.5%.

Is 7/8 in simplest form?

Yes — 7 and 8 have no common factor other than 1.

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