Converting 10.309 to a Fraction
Step-by-step explanation of how to convert 10.309 to a fraction

Result

10.309 =
10309
1000
Mixed number:
10
309
1000

Step 1: Identify the number of decimal places

The decimal 10.309 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.309 × 1000 = 10309

Step 3: Write as a fraction

10.309 =

10309
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10309 and 1000.

GCD(10309, 1000) = 1

Divide both the numerator and denominator by the GCD:

10309
1000

=

10309 ÷ 1
1000 ÷ 1

=

10309
1000
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