Converting 2.1834 to a Fraction
Step-by-step explanation of how to convert 2.1834 to a fraction

Result

2.1834 =
10917
5000
Mixed number:
2
917
5000

Step 1: Identify the number of decimal places

The decimal 2.1834 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.1834 × 10000 = 21834

Step 3: Write as a fraction

2.1834 =

21834
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21834 and 10000.

GCD(21834, 10000) = 2

Divide both the numerator and denominator by the GCD:

21834
10000

=

21834 ÷ 2
10000 ÷ 2

=

10917
5000
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