Converting 0.011175 to a Fraction
Step-by-step explanation of how to convert 0.011175 to a fraction

Result

0.011175 =
447
40000

Step 1: Identify the number of decimal places

The decimal 0.011175 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.011175 × 1000000 = 11175

Step 3: Write as a fraction

0.011175 =

11175
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11175 and 1000000.

GCD(11175, 1000000) = 25

Divide both the numerator and denominator by the GCD:

11175
1000000

=

11175 ÷ 25
1000000 ÷ 25

=

447
40000
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