0.75 as a fraction is 3/4. As a percent it is 75%. The fraction is in lowest terms: the numerator and denominator share no common factor other than 1.
How to convert 0.75 to a fraction
Step 1. Write 0.75 over a power of ten. It has 2 digits after the decimal point, so the denominator is 100: 0.75 = 75/100.
Step 2. Find the greatest common divisor of 75 and 100, which is 25.
Step 3. Divide the top and bottom by 25: 75 ÷ 25 = 3 and 100 ÷ 25 = 4. The result is 3/4.
The denominator 4 factors into 2 × 2, so this decimal terminates, as every decimal that is written with a finite number of digits does.
0.75 compared with nearby decimals
These decimals have the same number of places as 0.75, so the same method gives their fractions:
| Decimal | Fraction | Percent |
|---|---|---|
| 0.73 | 73/100 | 73% |
| 0.74 | 37/50 | 74% |
| 0.76 | 19/25 | 76% |
| 0.77 | 77/100 | 77% |
Multiples of 0.75
Scaling the fraction is a quick way to check your work. Each row multiplies 0.75 (3/4) by a whole number:
| Multiple | Decimal | Fraction | Mixed number |
|---|---|---|---|
| 2 × 0.75 | 1.5 | 3/2 | 1 1/2 |
| 3 × 0.75 | 2.25 | 9/4 | 2 1/4 |
| 4 × 0.75 | 3 | 3 | 3 |
| 5 × 0.75 | 3.75 | 15/4 | 3 3/4 |
| 10 × 0.75 | 7.5 | 15/2 | 7 1/2 |
3/4 of an inch
Tape measures and drill bits use binary fractions of an inch. Since one inch is defined as exactly 25.4 millimetres, 3/4 inch equals 3 × 25.4 ÷ 4 = 19.0500 mm.
Change the decimal in the calculator above to convert any other number; leave the precision on Exact fraction for the precise answer.