Converting 8.306 to a Fraction
Step-by-step explanation of how to convert 8.306 to a fraction

Result

8.306 =
4153
500
Mixed number:
8
153
500

Step 1: Identify the number of decimal places

The decimal 8.306 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

8.306 × 1000 = 8306

Step 3: Write as a fraction

8.306 =

8306
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8306 and 1000.

GCD(8306, 1000) = 2

Divide both the numerator and denominator by the GCD:

8306
1000

=

8306 ÷ 2
1000 ÷ 2

=

4153
500
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