Converting 40.27424 to a Fraction
Step-by-step explanation of how to convert 40.27424 to a fraction

Result

40.27424 =
125857
3125
Mixed number:
40
857
3125

Step 1: Identify the number of decimal places

The decimal 40.27424 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.27424 × 100000 = 4027424

Step 3: Write as a fraction

40.27424 =

4027424
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4027424 and 100000.

GCD(4027424, 100000) = 32

Divide both the numerator and denominator by the GCD:

4027424
100000

=

4027424 ÷ 32
100000 ÷ 32

=

125857
3125
Related Conversions
Other decimal to fraction conversions you might find useful