Converting 40.04208 to a Fraction
Step-by-step explanation of how to convert 40.04208 to a fraction

Result

40.04208 =
250263
6250
Mixed number:
40
263
6250

Step 1: Identify the number of decimal places

The decimal 40.04208 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.04208 × 100000 = 4004208

Step 3: Write as a fraction

40.04208 =

4004208
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4004208 and 100000.

GCD(4004208, 100000) = 16

Divide both the numerator and denominator by the GCD:

4004208
100000

=

4004208 ÷ 16
100000 ÷ 16

=

250263
6250
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