0.375 as a fraction

0.375 = 3/8

Result

Fraction—
Mixed number—
Difference from the decimal—

0.375 as a fraction is 3/8. As a percent it is 37.5%. The fraction is in lowest terms: the numerator and denominator share no common factor other than 1.

How to convert 0.375 to a fraction

Step 1. Write 0.375 over a power of ten. It has 3 digits after the decimal point, so the denominator is 1000: 0.375 = 375/1,000.

Step 2. Find the greatest common divisor of 375 and 1,000, which is 125.

Step 3. Divide the top and bottom by 125: 375 ÷ 125 = 3 and 1,000 ÷ 125 = 8. The result is 3/8.

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.

0.375 compared with nearby decimals

These decimals have the same number of places as 0.375, so the same method gives their fractions:

DecimalFractionPercent
0.373373/100037.3%
0.374187/50037.4%
0.37647/12537.6%
0.377377/100037.7%

Multiples of 0.375

Scaling the fraction is a quick way to check your work. Each row multiplies 0.375 (3/8) by a whole number:

MultipleDecimalFractionMixed number
2 × 0.3750.753/43/4
3 × 0.3751.1259/81 1/8
4 × 0.3751.53/21 1/2
5 × 0.3751.87515/81 7/8
10 × 0.3753.7515/43 3/4

3/8 of an inch

Tape measures and drill bits use binary fractions of an inch. Since one inch is defined as exactly 25.4 millimetres, 3/8 inch equals 3 × 25.4 ÷ 8 = 9.5250 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.