Converting 10.3314 to a Fraction
Step-by-step explanation of how to convert 10.3314 to a fraction

Result

10.3314 =
51657
5000
Mixed number:
10
1657
5000

Step 1: Identify the number of decimal places

The decimal 10.3314 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.3314 × 10000 = 103314

Step 3: Write as a fraction

10.3314 =

103314
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 103314 and 10000.

GCD(103314, 10000) = 2

Divide both the numerator and denominator by the GCD:

103314
10000

=

103314 ÷ 2
10000 ÷ 2

=

51657
5000
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