Converting 11.438384 to a Fraction
Step-by-step explanation of how to convert 11.438384 to a fraction

Result

11.438384 =
714899
62500
Mixed number:
11
27399
62500

Step 1: Identify the number of decimal places

The decimal 11.438384 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

11.438384 × 1000000 = 11438384

Step 3: Write as a fraction

11.438384 =

11438384
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11438384 and 1000000.

GCD(11438384, 1000000) = 16

Divide both the numerator and denominator by the GCD:

11438384
1000000

=

11438384 ÷ 16
1000000 ÷ 16

=

714899
62500
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