Converting 17.9966 to a Fraction
Step-by-step explanation of how to convert 17.9966 to a fraction

Result

17.9966 =
89983
5000
Mixed number:
17
4983
5000

Step 1: Identify the number of decimal places

The decimal 17.9966 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

17.9966 × 10000 = 179966

Step 3: Write as a fraction

17.9966 =

179966
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 179966 and 10000.

GCD(179966, 10000) = 2

Divide both the numerator and denominator by the GCD:

179966
10000

=

179966 ÷ 2
10000 ÷ 2

=

89983
5000
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