Converting 3.8356 to a Fraction
Step-by-step explanation of how to convert 3.8356 to a fraction

Result

3.8356 =
9589
2500
Mixed number:
3
2089
2500

Step 1: Identify the number of decimal places

The decimal 3.8356 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.8356 × 10000 = 38356

Step 3: Write as a fraction

3.8356 =

38356
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 38356 and 10000.

GCD(38356, 10000) = 4

Divide both the numerator and denominator by the GCD:

38356
10000

=

38356 ÷ 4
10000 ÷ 4

=

9589
2500
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