Converting 8.199 to a Fraction
Step-by-step explanation of how to convert 8.199 to a fraction

Result

8.199 =
8199
1000
Mixed number:
8
199
1000

Step 1: Identify the number of decimal places

The decimal 8.199 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

8.199 × 1000 = 8199

Step 3: Write as a fraction

8.199 =

8199
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8199 and 1000.

GCD(8199, 1000) = 1

Divide both the numerator and denominator by the GCD:

8199
1000

=

8199 ÷ 1
1000 ÷ 1

=

8199
1000
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