Converting 2.1855 to a Fraction
Step-by-step explanation of how to convert 2.1855 to a fraction
Result
2.1855 =
4371
2000
Mixed number:
2
371
2000
Step 1: Identify the number of decimal places
The decimal 2.1855 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.1855 × 10000 = 21855
Step 3: Write as a fraction
2.1855 =
21855
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21855 and 10000.
GCD(21855, 10000) = 5
Divide both the numerator and denominator by the GCD:
21855
10000
=
21855 ÷ 5
10000 ÷ 5
=
4371
2000
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