Converting 16.9826 to a Fraction
Step-by-step explanation of how to convert 16.9826 to a fraction

Result

16.9826 =
84913
5000
Mixed number:
16
4913
5000

Step 1: Identify the number of decimal places

The decimal 16.9826 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

16.9826 × 10000 = 169826

Step 3: Write as a fraction

16.9826 =

169826
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 169826 and 10000.

GCD(169826, 10000) = 2

Divide both the numerator and denominator by the GCD:

169826
10000

=

169826 ÷ 2
10000 ÷ 2

=

84913
5000
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