Converting 3.82884 to a Fraction
Step-by-step explanation of how to convert 3.82884 to a fraction

Result

3.82884 =
95721
25000
Mixed number:
3
20721
25000

Step 1: Identify the number of decimal places

The decimal 3.82884 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.82884 × 100000 = 382884

Step 3: Write as a fraction

3.82884 =

382884
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 382884 and 100000.

GCD(382884, 100000) = 4

Divide both the numerator and denominator by the GCD:

382884
100000

=

382884 ÷ 4
100000 ÷ 4

=

95721
25000
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