Converting 11.689824 to a Fraction
Step-by-step explanation of how to convert 11.689824 to a fraction
Result
11.689824 =
365307
31250
Mixed number:
11
21557
31250
Step 1: Identify the number of decimal places
The decimal 11.689824 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
11.689824 × 1000000 = 11689824
Step 3: Write as a fraction
11.689824 =
11689824
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11689824 and 1000000.
GCD(11689824, 1000000) = 32
Divide both the numerator and denominator by the GCD:
11689824
1000000
=
11689824 ÷ 32
1000000 ÷ 32
=
365307
31250
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