Converting 17.405 to a Fraction
Step-by-step explanation of how to convert 17.405 to a fraction

Result

17.405 =
3481
200
Mixed number:
17
81
200

Step 1: Identify the number of decimal places

The decimal 17.405 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

17.405 × 1000 = 17405

Step 3: Write as a fraction

17.405 =

17405
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 17405 and 1000.

GCD(17405, 1000) = 5

Divide both the numerator and denominator by the GCD:

17405
1000

=

17405 ÷ 5
1000 ÷ 5

=

3481
200
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