Converting 3.8325 to a Fraction
Step-by-step explanation of how to convert 3.8325 to a fraction

Result

3.8325 =
1533
400
Mixed number:
3
333
400

Step 1: Identify the number of decimal places

The decimal 3.8325 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.8325 × 10000 = 38325

Step 3: Write as a fraction

3.8325 =

38325
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 38325 and 10000.

GCD(38325, 10000) = 25

Divide both the numerator and denominator by the GCD:

38325
10000

=

38325 ÷ 25
10000 ÷ 25

=

1533
400
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