Converting 3.8255 to a Fraction
Step-by-step explanation of how to convert 3.8255 to a fraction

Result

3.8255 =
7651
2000
Mixed number:
3
1651
2000

Step 1: Identify the number of decimal places

The decimal 3.8255 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.8255 × 10000 = 38255

Step 3: Write as a fraction

3.8255 =

38255
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 38255 and 10000.

GCD(38255, 10000) = 5

Divide both the numerator and denominator by the GCD:

38255
10000

=

38255 ÷ 5
10000 ÷ 5

=

7651
2000
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