Converting 2.1808 to a Fraction
Step-by-step explanation of how to convert 2.1808 to a fraction

Result

2.1808 =
1363
625
Mixed number:
2
113
625

Step 1: Identify the number of decimal places

The decimal 2.1808 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.1808 × 10000 = 21808

Step 3: Write as a fraction

2.1808 =

21808
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21808 and 10000.

GCD(21808, 10000) = 16

Divide both the numerator and denominator by the GCD:

21808
10000

=

21808 ÷ 16
10000 ÷ 16

=

1363
625
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