Converting 11.79784 to a Fraction
Step-by-step explanation of how to convert 11.79784 to a fraction

Result

11.79784 =
147473
12500
Mixed number:
11
9973
12500

Step 1: Identify the number of decimal places

The decimal 11.79784 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.79784 × 100000 = 1179784

Step 3: Write as a fraction

11.79784 =

1179784
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1179784 and 100000.

GCD(1179784, 100000) = 8

Divide both the numerator and denominator by the GCD:

1179784
100000

=

1179784 ÷ 8
100000 ÷ 8

=

147473
12500
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