Converting 21.3658 to a Fraction
Step-by-step explanation of how to convert 21.3658 to a fraction
Result
21.3658 =
106829
5000
Mixed number:
21
1829
5000
Step 1: Identify the number of decimal places
The decimal 21.3658 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
21.3658 × 10000 = 213658
Step 3: Write as a fraction
21.3658 =
213658
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 213658 and 10000.
GCD(213658, 10000) = 2
Divide both the numerator and denominator by the GCD:
213658
10000
=
213658 ÷ 2
10000 ÷ 2
=
106829
5000
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