Converting 40.09728 to a Fraction
Step-by-step explanation of how to convert 40.09728 to a fraction

Result

40.09728 =
125304
3125
Mixed number:
40
304
3125

Step 1: Identify the number of decimal places

The decimal 40.09728 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.09728 × 100000 = 4009728

Step 3: Write as a fraction

40.09728 =

4009728
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4009728 and 100000.

GCD(4009728, 100000) = 32

Divide both the numerator and denominator by the GCD:

4009728
100000

=

4009728 ÷ 32
100000 ÷ 32

=

125304
3125
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