Converting 10.311 to a Fraction
Step-by-step explanation of how to convert 10.311 to a fraction

Result

10.311 =
10311
1000
Mixed number:
10
311
1000

Step 1: Identify the number of decimal places

The decimal 10.311 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.311 × 1000 = 10311

Step 3: Write as a fraction

10.311 =

10311
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10311 and 1000.

GCD(10311, 1000) = 1

Divide both the numerator and denominator by the GCD:

10311
1000

=

10311 ÷ 1
1000 ÷ 1

=

10311
1000
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