Converting 16.905 to a Fraction
Step-by-step explanation of how to convert 16.905 to a fraction

Result

16.905 =
3381
200
Mixed number:
16
181
200

Step 1: Identify the number of decimal places

The decimal 16.905 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

16.905 × 1000 = 16905

Step 3: Write as a fraction

16.905 =

16905
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 16905 and 1000.

GCD(16905, 1000) = 5

Divide both the numerator and denominator by the GCD:

16905
1000

=

16905 ÷ 5
1000 ÷ 5

=

3381
200
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