Converting 40.59872 to a Fraction
Step-by-step explanation of how to convert 40.59872 to a fraction

Result

40.59872 =
126871
3125
Mixed number:
40
1871
3125

Step 1: Identify the number of decimal places

The decimal 40.59872 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.59872 × 100000 = 4059872

Step 3: Write as a fraction

40.59872 =

4059872
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4059872 and 100000.

GCD(4059872, 100000) = 32

Divide both the numerator and denominator by the GCD:

4059872
100000

=

4059872 ÷ 32
100000 ÷ 32

=

126871
3125
Related Conversions
Other decimal to fraction conversions you might find useful