Converting 3.3385 to a Fraction
Step-by-step explanation of how to convert 3.3385 to a fraction

Result

3.3385 =
6677
2000
Mixed number:
3
677
2000

Step 1: Identify the number of decimal places

The decimal 3.3385 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.3385 × 10000 = 33385

Step 3: Write as a fraction

3.3385 =

33385
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 33385 and 10000.

GCD(33385, 10000) = 5

Divide both the numerator and denominator by the GCD:

33385
10000

=

33385 ÷ 5
10000 ÷ 5

=

6677
2000
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