Converting 40.82384 to a Fraction
Step-by-step explanation of how to convert 40.82384 to a fraction

Result

40.82384 =
255149
6250
Mixed number:
40
5149
6250

Step 1: Identify the number of decimal places

The decimal 40.82384 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.82384 × 100000 = 4082384

Step 3: Write as a fraction

40.82384 =

4082384
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4082384 and 100000.

GCD(4082384, 100000) = 16

Divide both the numerator and denominator by the GCD:

4082384
100000

=

4082384 ÷ 16
100000 ÷ 16

=

255149
6250
Related Conversions
Other decimal to fraction conversions you might find useful