Converting 21.2314 to a Fraction
Step-by-step explanation of how to convert 21.2314 to a fraction
Result
21.2314 =
106157
5000
Mixed number:
21
1157
5000
Step 1: Identify the number of decimal places
The decimal 21.2314 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
21.2314 × 10000 = 212314
Step 3: Write as a fraction
21.2314 =
212314
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 212314 and 10000.
GCD(212314, 10000) = 2
Divide both the numerator and denominator by the GCD:
212314
10000
=
212314 ÷ 2
10000 ÷ 2
=
106157
5000
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