Converting 10.31164 to a Fraction
Step-by-step explanation of how to convert 10.31164 to a fraction

Result

10.31164 =
257791
25000
Mixed number:
10
7791
25000

Step 1: Identify the number of decimal places

The decimal 10.31164 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.31164 × 100000 = 1031164

Step 3: Write as a fraction

10.31164 =

1031164
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1031164 and 100000.

GCD(1031164, 100000) = 4

Divide both the numerator and denominator by the GCD:

1031164
100000

=

1031164 ÷ 4
100000 ÷ 4

=

257791
25000
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