Converting 13.815 to a Fraction
Step-by-step explanation of how to convert 13.815 to a fraction

Result

13.815 =
2763
200
Mixed number:
13
163
200

Step 1: Identify the number of decimal places

The decimal 13.815 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.815 × 1000 = 13815

Step 3: Write as a fraction

13.815 =

13815
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13815 and 1000.

GCD(13815, 1000) = 5

Divide both the numerator and denominator by the GCD:

13815
1000

=

13815 ÷ 5
1000 ÷ 5

=

2763
200
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