Converting 16.6874 to a Fraction
Step-by-step explanation of how to convert 16.6874 to a fraction

Result

16.6874 =
83437
5000
Mixed number:
16
3437
5000

Step 1: Identify the number of decimal places

The decimal 16.6874 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

16.6874 × 10000 = 166874

Step 3: Write as a fraction

16.6874 =

166874
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 166874 and 10000.

GCD(166874, 10000) = 2

Divide both the numerator and denominator by the GCD:

166874
10000

=

166874 ÷ 2
10000 ÷ 2

=

83437
5000
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