Converting 40.13952 to a Fraction
Step-by-step explanation of how to convert 40.13952 to a fraction

Result

40.13952 =
125436
3125
Mixed number:
40
436
3125

Step 1: Identify the number of decimal places

The decimal 40.13952 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.13952 × 100000 = 4013952

Step 3: Write as a fraction

40.13952 =

4013952
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4013952 and 100000.

GCD(4013952, 100000) = 32

Divide both the numerator and denominator by the GCD:

4013952
100000

=

4013952 ÷ 32
100000 ÷ 32

=

125436
3125
Related Conversions
Other decimal to fraction conversions you might find useful