Converting 11.65784 to a Fraction
Step-by-step explanation of how to convert 11.65784 to a fraction
Result
11.65784 =
145723
12500
Mixed number:
11
8223
12500
Step 1: Identify the number of decimal places
The decimal 11.65784 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.65784 × 100000 = 1165784
Step 3: Write as a fraction
11.65784 =
1165784
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1165784 and 100000.
GCD(1165784, 100000) = 8
Divide both the numerator and denominator by the GCD:
1165784
100000
=
1165784 ÷ 8
100000 ÷ 8
=
145723
12500
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