Converting 16.8142 to a Fraction
Step-by-step explanation of how to convert 16.8142 to a fraction

Result

16.8142 =
84071
5000
Mixed number:
16
4071
5000

Step 1: Identify the number of decimal places

The decimal 16.8142 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

16.8142 × 10000 = 168142

Step 3: Write as a fraction

16.8142 =

168142
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 168142 and 10000.

GCD(168142, 10000) = 2

Divide both the numerator and denominator by the GCD:

168142
10000

=

168142 ÷ 2
10000 ÷ 2

=

84071
5000
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