Converting 11.74666 to a Fraction
Step-by-step explanation of how to convert 11.74666 to a fraction

Result

11.74666 =
587333
50000
Mixed number:
11
37333
50000

Step 1: Identify the number of decimal places

The decimal 11.74666 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.74666 × 100000 = 1174666

Step 3: Write as a fraction

11.74666 =

1174666
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1174666 and 100000.

GCD(1174666, 100000) = 2

Divide both the numerator and denominator by the GCD:

1174666
100000

=

1174666 ÷ 2
100000 ÷ 2

=

587333
50000
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