Converting 21.834 to a Fraction
Step-by-step explanation of how to convert 21.834 to a fraction

Result

21.834 =
10917
500
Mixed number:
21
417
500

Step 1: Identify the number of decimal places

The decimal 21.834 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.834 × 1000 = 21834

Step 3: Write as a fraction

21.834 =

21834
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21834 and 1000.

GCD(21834, 1000) = 2

Divide both the numerator and denominator by the GCD:

21834
1000

=

21834 ÷ 2
1000 ÷ 2

=

10917
500
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