Converting 21.3826 to a Fraction
Step-by-step explanation of how to convert 21.3826 to a fraction
Result
21.3826 =
106913
5000
Mixed number:
21
1913
5000
Step 1: Identify the number of decimal places
The decimal 21.3826 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
21.3826 × 10000 = 213826
Step 3: Write as a fraction
21.3826 =
213826
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 213826 and 10000.
GCD(213826, 10000) = 2
Divide both the numerator and denominator by the GCD:
213826
10000
=
213826 ÷ 2
10000 ÷ 2
=
106913
5000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions