Converting 85.2664 to a Fraction
Step-by-step explanation of how to convert 85.2664 to a fraction
Result
85.2664 =
106583
1250
Mixed number:
85
333
1250
Step 1: Identify the number of decimal places
The decimal 85.2664 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
85.2664 × 10000 = 852664
Step 3: Write as a fraction
85.2664 =
852664
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 852664 and 10000.
GCD(852664, 10000) = 8
Divide both the numerator and denominator by the GCD:
852664
10000
=
852664 ÷ 8
10000 ÷ 8
=
106583
1250
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