Converting 85.3728 to a Fraction
Step-by-step explanation of how to convert 85.3728 to a fraction
Result
85.3728 =
53358
625
Mixed number:
85
233
625
Step 1: Identify the number of decimal places
The decimal 85.3728 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
85.3728 × 10000 = 853728
Step 3: Write as a fraction
85.3728 =
853728
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 853728 and 10000.
GCD(853728, 10000) = 16
Divide both the numerator and denominator by the GCD:
853728
10000
=
853728 ÷ 16
10000 ÷ 16
=
53358
625
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