Converting 11.696 to a Fraction
Step-by-step explanation of how to convert 11.696 to a fraction
Result
11.696 =
1462
125
Mixed number:
11
87
125
Step 1: Identify the number of decimal places
The decimal 11.696 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.696 × 1000 = 11696
Step 3: Write as a fraction
11.696 =
11696
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11696 and 1000.
GCD(11696, 1000) = 8
Divide both the numerator and denominator by the GCD:
11696
1000
=
11696 ÷ 8
1000 ÷ 8
=
1462
125
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