0.625 as a fraction

0.625 = 5/8

Result

Fraction—
Mixed number—
Difference from the decimal—

0.625 as a fraction is 5/8. As a percent it is 62.5%. The fraction is in lowest terms: the numerator and denominator share no common factor other than 1.

How to convert 0.625 to a fraction

Step 1. Write 0.625 over a power of ten. It has 3 digits after the decimal point, so the denominator is 1000: 0.625 = 625/1,000.

Step 2. Find the greatest common divisor of 625 and 1,000, which is 125.

Step 3. Divide the top and bottom by 125: 625 ÷ 125 = 5 and 1,000 ÷ 125 = 8. The result is 5/8.

The denominator 8 factors into 2 × 2 × 2, so this decimal terminates, as every decimal that is written with a finite number of digits does.

0.625 compared with nearby decimals

These decimals have the same number of places as 0.625, so the same method gives their fractions:

DecimalFractionPercent
0.623623/100062.3%
0.62478/12562.4%
0.626313/50062.6%
0.627627/100062.7%

Multiples of 0.625

Scaling the fraction is a quick way to check your work. Each row multiplies 0.625 (5/8) by a whole number:

MultipleDecimalFractionMixed number
2 × 0.6251.255/41 1/4
3 × 0.6251.87515/81 7/8
4 × 0.6252.55/22 1/2
5 × 0.6253.12525/83 1/8
10 × 0.6256.2525/46 1/4

5/8 of an inch

Tape measures and drill bits use binary fractions of an inch. Since one inch is defined as exactly 25.4 millimetres, 5/8 inch equals 5 × 25.4 ÷ 8 = 15.8750 mm.

Change the decimal in the calculator above to convert any other number; leave the precision on Exact fraction for the precise answer.

Related pages

Use the full Decimal to Fraction Calculator for other values.