3.75 as a Fraction

3.75 as a fraction15/4
Fraction
15/4
Mixed number
3 3/4
Percent
375%

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

3.75 = 15/4

3.75 as a fraction in simplest form is 15/4, or 3 3/4 as a mixed number.

Step by step

  1. 3.75 has 2 decimal places, so write it over 100: 375/100.
  2. Find the greatest common divisor of 375 and 100: 25.
  3. Divide the top and bottom by 25: 375 ÷ 25 = 15, 100 ÷ 25 = 4.
  4. So 3.75 = 15/4.

Details

Fraction
15/4
Mixed number
3 3/4
Percent
375%
Nearest 1/16 (tape measure)
3 3/4
Reciprocal
4/15 ≈ 0.2667

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
1.89/5
1.87515/8
2.259/4
2.412/5
2.55/2
2.7511/4
3.57/2
3.7515/4
4.59/2

Related conversions

Frequently asked questions

What is 3.75 as a fraction?

3.75 is 15/4 in simplest form.

How do you convert 3.75 to a fraction?

Write 3.75 as 375/100, then divide the top and bottom by 25 to get 15/4.

What is 3.75 as a percentage?

3.75 × 100 = 375%.

What is 3.75 as a mixed number?

3 3/4.

Related tools