.875 as a Fraction

.875 as a fraction is 7/8. Getting there takes two steps: write .875 over its place value, then simplify. It's the mirror image of converting a fraction to a decimal - so if you've ever wondered which direction is actually easier, this one usually is.

How to Convert .875 to a Fraction, Step by Step

Every digit after the decimal point sits in a place value - tenths, hundredths, thousandths - and that place value tells you what to divide by. .875 has three digits after the point, so it sits in the thousandths place:

1. Write .875 as a fraction over 1000 (three decimal places = three zeros): 875/1000.
2. Find the greatest common factor of 875 and 1000, which is 125.
3. Divide both numbers by 125: 875 ÷ 125 = 7, and 1000 ÷ 125 = 8.
4. That leaves 7/8, which can't be reduced any further.

You can check it in reverse the same way we did for fractions in our 3/8 as a Decimal guide: divide 7 by 8, and you get .875 back.

Why Multiplying by 1000 Works

The number of zeros in the denominator always matches the number of digits after the decimal point - one digit means tenths (a denominator of 10), two digits means hundredths (100), and three digits, like .875, means thousandths (1000). Once the fraction is written that way, it's no different from any other fraction: find what both numbers have in common and divide it out. 875 and 1000 are both divisible by 5 three times over (5 × 5 × 5 = 125), which is where that greatest common factor comes from.

.875 as a Percentage

Since .875 is already a decimal, the percentage is a straightforward multiplication: .875 × 100 = 87.5%. You can double-check that the fraction and percentage agree with the Percentage Calculator's “what percent is X of Y” mode - enter 7 as the part and 8 as the whole, and it returns 87.5% directly, confirming 7/8 and 87.5% describe the same amount.

Common Decimals as Fractions

Since .875 belongs to the eighths family, here's the full set for quick reference:

Converting Any Decimal to a Fraction

So, .875 as a fraction is 7/8 - reached by writing it over a power of 10 based on its place value, then dividing out the greatest common factor. That same two-step process works for any terminating decimal, not just .875. Repeating decimals (like .333…) need a slightly different algebraic approach, but for anything that ends cleanly, this method always gets you there.