Converting 3.83424 to a Fraction
Step-by-step explanation of how to convert 3.83424 to a fraction

Result

3.83424 =
11982
3125
Mixed number:
3
2607
3125

Step 1: Identify the number of decimal places

The decimal 3.83424 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.83424 × 100000 = 383424

Step 3: Write as a fraction

3.83424 =

383424
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 383424 and 100000.

GCD(383424, 100000) = 32

Divide both the numerator and denominator by the GCD:

383424
100000

=

383424 ÷ 32
100000 ÷ 32

=

11982
3125
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