Converting 86.6 to a Fraction
Step-by-step explanation of how to convert 86.6 to a fraction
Result
86.6 =
433
5
Mixed number:
86
3
5
Step 1: Identify the number of decimal places
The decimal 86.6 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
86.6 × 10 = 866
Step 3: Write as a fraction
86.6 =
866
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 866 and 10.
GCD(866, 10) = 2
Divide both the numerator and denominator by the GCD:
866
10
=
866 ÷ 2
10 ÷ 2
=
433
5
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