Converting 11.616 to a Fraction
Step-by-step explanation of how to convert 11.616 to a fraction

Result

11.616 =
1452
125
Mixed number:
11
77
125

Step 1: Identify the number of decimal places

The decimal 11.616 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

11.616 × 1000 = 11616

Step 3: Write as a fraction

11.616 =

11616
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11616 and 1000.

GCD(11616, 1000) = 8

Divide both the numerator and denominator by the GCD:

11616
1000

=

11616 ÷ 8
1000 ÷ 8

=

1452
125
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