Converting 3.3565 to a Fraction
Step-by-step explanation of how to convert 3.3565 to a fraction

Result

3.3565 =
6713
2000
Mixed number:
3
713
2000

Step 1: Identify the number of decimal places

The decimal 3.3565 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.3565 × 10000 = 33565

Step 3: Write as a fraction

3.3565 =

33565
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 33565 and 10000.

GCD(33565, 10000) = 5

Divide both the numerator and denominator by the GCD:

33565
10000

=

33565 ÷ 5
10000 ÷ 5

=

6713
2000
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