Converting 3.414 to a Fraction
Step-by-step explanation of how to convert 3.414 to a fraction

Result

3.414 =
1707
500
Mixed number:
3
207
500

Step 1: Identify the number of decimal places

The decimal 3.414 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.414 × 1000 = 3414

Step 3: Write as a fraction

3.414 =

3414
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3414 and 1000.

GCD(3414, 1000) = 2

Divide both the numerator and denominator by the GCD:

3414
1000

=

3414 ÷ 2
1000 ÷ 2

=

1707
500
Related Conversions
Other decimal to fraction conversions you might find useful