Converting 11.6 to a Fraction
Step-by-step explanation of how to convert 11.6 to a fraction
Result
11.6 =
58
5
Mixed number:
11
3
5
Step 1: Identify the number of decimal places
The decimal 11.6 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
11.6 × 10 = 116
Step 3: Write as a fraction
11.6 =
116
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 116 and 10.
GCD(116, 10) = 2
Divide both the numerator and denominator by the GCD:
116
10
=
116 ÷ 2
10 ÷ 2
=
58
5
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