Converting 11.7712 to a Fraction
Step-by-step explanation of how to convert 11.7712 to a fraction

Result

11.7712 =
7357
625
Mixed number:
11
482
625

Step 1: Identify the number of decimal places

The decimal 11.7712 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.7712 × 10000 = 117712

Step 3: Write as a fraction

11.7712 =

117712
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 117712 and 10000.

GCD(117712, 10000) = 16

Divide both the numerator and denominator by the GCD:

117712
10000

=

117712 ÷ 16
10000 ÷ 16

=

7357
625
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