Converting 10.31316 to a Fraction
Step-by-step explanation of how to convert 10.31316 to a fraction

Result

10.31316 =
257829
25000
Mixed number:
10
7829
25000

Step 1: Identify the number of decimal places

The decimal 10.31316 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.31316 × 100000 = 1031316

Step 3: Write as a fraction

10.31316 =

1031316
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1031316 and 100000.

GCD(1031316, 100000) = 4

Divide both the numerator and denominator by the GCD:

1031316
100000

=

1031316 ÷ 4
100000 ÷ 4

=

257829
25000
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