Converting 3.8272 to a Fraction
Step-by-step explanation of how to convert 3.8272 to a fraction

Result

3.8272 =
2392
625
Mixed number:
3
517
625

Step 1: Identify the number of decimal places

The decimal 3.8272 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.8272 × 10000 = 38272

Step 3: Write as a fraction

3.8272 =

38272
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 38272 and 10000.

GCD(38272, 10000) = 16

Divide both the numerator and denominator by the GCD:

38272
10000

=

38272 ÷ 16
10000 ÷ 16

=

2392
625
Related Conversions
Other decimal to fraction conversions you might find useful