Converting 13.878 to a Fraction
Step-by-step explanation of how to convert 13.878 to a fraction

Result

13.878 =
6939
500
Mixed number:
13
439
500

Step 1: Identify the number of decimal places

The decimal 13.878 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.878 × 1000 = 13878

Step 3: Write as a fraction

13.878 =

13878
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13878 and 1000.

GCD(13878, 1000) = 2

Divide both the numerator and denominator by the GCD:

13878
1000

=

13878 ÷ 2
1000 ÷ 2

=

6939
500
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