Converting 3.8355 to a Fraction
Step-by-step explanation of how to convert 3.8355 to a fraction

Result

3.8355 =
7671
2000
Mixed number:
3
1671
2000

Step 1: Identify the number of decimal places

The decimal 3.8355 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.8355 × 10000 = 38355

Step 3: Write as a fraction

3.8355 =

38355
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 38355 and 10000.

GCD(38355, 10000) = 5

Divide both the numerator and denominator by the GCD:

38355
10000

=

38355 ÷ 5
10000 ÷ 5

=

7671
2000
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