Converting 10.1164 to a Fraction
Step-by-step explanation of how to convert 10.1164 to a fraction

Result

10.1164 =
25291
2500
Mixed number:
10
291
2500

Step 1: Identify the number of decimal places

The decimal 10.1164 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.1164 × 10000 = 101164

Step 3: Write as a fraction

10.1164 =

101164
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 101164 and 10000.

GCD(101164, 10000) = 4

Divide both the numerator and denominator by the GCD:

101164
10000

=

101164 ÷ 4
10000 ÷ 4

=

25291
2500
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