Converting 11.815 to a Fraction
Step-by-step explanation of how to convert 11.815 to a fraction

Result

11.815 =
2363
200
Mixed number:
11
163
200

Step 1: Identify the number of decimal places

The decimal 11.815 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

11.815 × 1000 = 11815

Step 3: Write as a fraction

11.815 =

11815
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11815 and 1000.

GCD(11815, 1000) = 5

Divide both the numerator and denominator by the GCD:

11815
1000

=

11815 ÷ 5
1000 ÷ 5

=

2363
200
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