Converting 16.8176 to a Fraction
Step-by-step explanation of how to convert 16.8176 to a fraction

Result

16.8176 =
10511
625
Mixed number:
16
511
625

Step 1: Identify the number of decimal places

The decimal 16.8176 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

16.8176 × 10000 = 168176

Step 3: Write as a fraction

16.8176 =

168176
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 168176 and 10000.

GCD(168176, 10000) = 16

Divide both the numerator and denominator by the GCD:

168176
10000

=

168176 ÷ 16
10000 ÷ 16

=

10511
625
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