Converting 3.349 to a Fraction
Step-by-step explanation of how to convert 3.349 to a fraction

Result

3.349 =
3349
1000
Mixed number:
3
349
1000

Step 1: Identify the number of decimal places

The decimal 3.349 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.349 × 1000 = 3349

Step 3: Write as a fraction

3.349 =

3349
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3349 and 1000.

GCD(3349, 1000) = 1

Divide both the numerator and denominator by the GCD:

3349
1000

=

3349 ÷ 1
1000 ÷ 1

=

3349
1000
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