Converting 40.1728 to a Fraction
Step-by-step explanation of how to convert 40.1728 to a fraction

Result

40.1728 =
25108
625
Mixed number:
40
108
625

Step 1: Identify the number of decimal places

The decimal 40.1728 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.1728 × 10000 = 401728

Step 3: Write as a fraction

40.1728 =

401728
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 401728 and 10000.

GCD(401728, 10000) = 16

Divide both the numerator and denominator by the GCD:

401728
10000

=

401728 ÷ 16
10000 ÷ 16

=

25108
625
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