Converting 40.09888 to a Fraction
Step-by-step explanation of how to convert 40.09888 to a fraction

Result

40.09888 =
125309
3125
Mixed number:
40
309
3125

Step 1: Identify the number of decimal places

The decimal 40.09888 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.09888 × 100000 = 4009888

Step 3: Write as a fraction

40.09888 =

4009888
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4009888 and 100000.

GCD(4009888, 100000) = 32

Divide both the numerator and denominator by the GCD:

4009888
100000

=

4009888 ÷ 32
100000 ÷ 32

=

125309
3125
Related Conversions
Other decimal to fraction conversions you might find useful