Converting 10.111264 to a Fraction
Step-by-step explanation of how to convert 10.111264 to a fraction

Result

10.111264 =
315977
31250
Mixed number:
10
3477
31250

Step 1: Identify the number of decimal places

The decimal 10.111264 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

10.111264 × 1000000 = 10111264

Step 3: Write as a fraction

10.111264 =

10111264
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10111264 and 1000000.

GCD(10111264, 1000000) = 32

Divide both the numerator and denominator by the GCD:

10111264
1000000

=

10111264 ÷ 32
1000000 ÷ 32

=

315977
31250
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