Converting 53.8272 to a Fraction
Step-by-step explanation of how to convert 53.8272 to a fraction
Result
53.8272 =
33642
625
Mixed number:
53
517
625
Step 1: Identify the number of decimal places
The decimal 53.8272 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
53.8272 × 10000 = 538272
Step 3: Write as a fraction
53.8272 =
538272
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 538272 and 10000.
GCD(538272, 10000) = 16
Divide both the numerator and denominator by the GCD:
538272
10000
=
538272 ÷ 16
10000 ÷ 16
=
33642
625
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