Converting 11.742784 to a Fraction
Step-by-step explanation of how to convert 11.742784 to a fraction
Result
11.742784 =
183481
15625
Mixed number:
11
11606
15625
Step 1: Identify the number of decimal places
The decimal 11.742784 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
11.742784 × 1000000 = 11742784
Step 3: Write as a fraction
11.742784 =
11742784
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11742784 and 1000000.
GCD(11742784, 1000000) = 64
Divide both the numerator and denominator by the GCD:
11742784
1000000
=
11742784 ÷ 64
1000000 ÷ 64
=
183481
15625
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