Converting 17.785 to a Fraction
Step-by-step explanation of how to convert 17.785 to a fraction
Result
17.785 =
3557
200
Mixed number:
17
157
200
Step 1: Identify the number of decimal places
The decimal 17.785 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
17.785 × 1000 = 17785
Step 3: Write as a fraction
17.785 =
17785
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 17785 and 1000.
GCD(17785, 1000) = 5
Divide both the numerator and denominator by the GCD:
17785
1000
=
17785 ÷ 5
1000 ÷ 5
=
3557
200
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