Converting 3.82944 to a Fraction
Step-by-step explanation of how to convert 3.82944 to a fraction

Result

3.82944 =
11967
3125
Mixed number:
3
2592
3125

Step 1: Identify the number of decimal places

The decimal 3.82944 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.82944 × 100000 = 382944

Step 3: Write as a fraction

3.82944 =

382944
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 382944 and 100000.

GCD(382944, 100000) = 32

Divide both the numerator and denominator by the GCD:

382944
100000

=

382944 ÷ 32
100000 ÷ 32

=

11967
3125
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