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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