Converting 10.8214 to a Fraction
Step-by-step explanation of how to convert 10.8214 to a fraction
Result
10.8214 =
54107
5000
Mixed number:
10
4107
5000
Step 1: Identify the number of decimal places
The decimal 10.8214 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.8214 × 10000 = 108214
Step 3: Write as a fraction
10.8214 =
108214
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 108214 and 10000.
GCD(108214, 10000) = 2
Divide both the numerator and denominator by the GCD:
108214
10000
=
108214 ÷ 2
10000 ÷ 2
=
54107
5000
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