Converting 13.78238 to a Fraction
Step-by-step explanation of how to convert 13.78238 to a fraction

Result

13.78238 =
689119
50000
Mixed number:
13
39119
50000

Step 1: Identify the number of decimal places

The decimal 13.78238 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

13.78238 × 100000 = 1378238

Step 3: Write as a fraction

13.78238 =

1378238
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1378238 and 100000.

GCD(1378238, 100000) = 2

Divide both the numerator and denominator by the GCD:

1378238
100000

=

1378238 ÷ 2
100000 ÷ 2

=

689119
50000
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