Converting 13.745728 to a Fraction
Step-by-step explanation of how to convert 13.745728 to a fraction

Result

13.745728 =
214777
15625
Mixed number:
13
11652
15625

Step 1: Identify the number of decimal places

The decimal 13.745728 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

13.745728 × 1000000 = 13745728

Step 3: Write as a fraction

13.745728 =

13745728
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13745728 and 1000000.

GCD(13745728, 1000000) = 64

Divide both the numerator and denominator by the GCD:

13745728
1000000

=

13745728 ÷ 64
1000000 ÷ 64

=

214777
15625
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