Converting 39.9728 to a Fraction
Step-by-step explanation of how to convert 39.9728 to a fraction
Result
39.9728 =
24983
625
Mixed number:
39
608
625
Step 1: Identify the number of decimal places
The decimal 39.9728 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
39.9728 × 10000 = 399728
Step 3: Write as a fraction
39.9728 =
399728
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 399728 and 10000.
GCD(399728, 10000) = 16
Divide both the numerator and denominator by the GCD:
399728
10000
=
399728 ÷ 16
10000 ÷ 16
=
24983
625
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