Converting 3.5355 to a Fraction
Step-by-step explanation of how to convert 3.5355 to a fraction

Result

3.5355 =
7071
2000
Mixed number:
3
1071
2000

Step 1: Identify the number of decimal places

The decimal 3.5355 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.5355 × 10000 = 35355

Step 3: Write as a fraction

3.5355 =

35355
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 35355 and 10000.

GCD(35355, 10000) = 5

Divide both the numerator and denominator by the GCD:

35355
10000

=

35355 ÷ 5
10000 ÷ 5

=

7071
2000
Related Conversions
Other decimal to fraction conversions you might find useful