Converting 6.309 to a Fraction
Step-by-step explanation of how to convert 6.309 to a fraction

Result

6.309 =
6309
1000
Mixed number:
6
309
1000

Step 1: Identify the number of decimal places

The decimal 6.309 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

6.309 × 1000 = 6309

Step 3: Write as a fraction

6.309 =

6309
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 6309 and 1000.

GCD(6309, 1000) = 1

Divide both the numerator and denominator by the GCD:

6309
1000

=

6309 ÷ 1
1000 ÷ 1

=

6309
1000
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