Converting 85.8176 to a Fraction
Step-by-step explanation of how to convert 85.8176 to a fraction
Result
85.8176 =
53636
625
Mixed number:
85
511
625
Step 1: Identify the number of decimal places
The decimal 85.8176 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
85.8176 × 10000 = 858176
Step 3: Write as a fraction
85.8176 =
858176
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 858176 and 10000.
GCD(858176, 10000) = 16
Divide both the numerator and denominator by the GCD:
858176
10000
=
858176 ÷ 16
10000 ÷ 16
=
53636
625
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