Converting 86.824 to a Fraction
Step-by-step explanation of how to convert 86.824 to a fraction
Result
86.824 =
10853
125
Mixed number:
86
103
125
Step 1: Identify the number of decimal places
The decimal 86.824 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
86.824 × 1000 = 86824
Step 3: Write as a fraction
86.824 =
86824
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 86824 and 1000.
GCD(86824, 1000) = 8
Divide both the numerator and denominator by the GCD:
86824
1000
=
86824 ÷ 8
1000 ÷ 8
=
10853
125
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