Converting 11.52784 to a Fraction
Step-by-step explanation of how to convert 11.52784 to a fraction
Result
11.52784 =
72049
6250
Mixed number:
11
3299
6250
Step 1: Identify the number of decimal places
The decimal 11.52784 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.52784 × 100000 = 1152784
Step 3: Write as a fraction
11.52784 =
1152784
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1152784 and 100000.
GCD(1152784, 100000) = 16
Divide both the numerator and denominator by the GCD:
1152784
100000
=
1152784 ÷ 16
100000 ÷ 16
=
72049
6250
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