Converting 13.824384 to a Fraction
Step-by-step explanation of how to convert 13.824384 to a fraction

Result

13.824384 =
216006
15625
Mixed number:
13
12881
15625

Step 1: Identify the number of decimal places

The decimal 13.824384 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

13.824384 × 1000000 = 13824384

Step 3: Write as a fraction

13.824384 =

13824384
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13824384 and 1000000.

GCD(13824384, 1000000) = 64

Divide both the numerator and denominator by the GCD:

13824384
1000000

=

13824384 ÷ 64
1000000 ÷ 64

=

216006
15625
Related Conversions
Other decimal to fraction conversions you might find useful