Converting 3.509 to a Fraction
Step-by-step explanation of how to convert 3.509 to a fraction

Result

3.509 =
3509
1000
Mixed number:
3
509
1000

Step 1: Identify the number of decimal places

The decimal 3.509 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.509 × 1000 = 3509

Step 3: Write as a fraction

3.509 =

3509
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3509 and 1000.

GCD(3509, 1000) = 1

Divide both the numerator and denominator by the GCD:

3509
1000

=

3509 ÷ 1
1000 ÷ 1

=

3509
1000
Related Conversions
Other decimal to fraction conversions you might find useful