Converting 11.57784 to a Fraction
Step-by-step explanation of how to convert 11.57784 to a fraction
Result
11.57784 =
144723
12500
Mixed number:
11
7223
12500
Step 1: Identify the number of decimal places
The decimal 11.57784 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.57784 × 100000 = 1157784
Step 3: Write as a fraction
11.57784 =
1157784
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1157784 and 100000.
GCD(1157784, 100000) = 8
Divide both the numerator and denominator by the GCD:
1157784
100000
=
1157784 ÷ 8
100000 ÷ 8
=
144723
12500
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