Converting 11.489824 to a Fraction
Step-by-step explanation of how to convert 11.489824 to a fraction

Result

11.489824 =
359057
31250
Mixed number:
11
15307
31250

Step 1: Identify the number of decimal places

The decimal 11.489824 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

11.489824 × 1000000 = 11489824

Step 3: Write as a fraction

11.489824 =

11489824
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11489824 and 1000000.

GCD(11489824, 1000000) = 32

Divide both the numerator and denominator by the GCD:

11489824
1000000

=

11489824 ÷ 32
1000000 ÷ 32

=

359057
31250
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