Converting 85.2072 to a Fraction
Step-by-step explanation of how to convert 85.2072 to a fraction
Result
85.2072 =
106509
1250
Mixed number:
85
259
1250
Step 1: Identify the number of decimal places
The decimal 85.2072 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
85.2072 × 10000 = 852072
Step 3: Write as a fraction
85.2072 =
852072
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 852072 and 10000.
GCD(852072, 10000) = 8
Divide both the numerator and denominator by the GCD:
852072
10000
=
852072 ÷ 8
10000 ÷ 8
=
106509
1250
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