Converting 3.8184 to a Fraction
Step-by-step explanation of how to convert 3.8184 to a fraction

Result

3.8184 =
4773
1250
Mixed number:
3
1023
1250

Step 1: Identify the number of decimal places

The decimal 3.8184 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.8184 × 10000 = 38184

Step 3: Write as a fraction

3.8184 =

38184
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 38184 and 10000.

GCD(38184, 10000) = 8

Divide both the numerator and denominator by the GCD:

38184
10000

=

38184 ÷ 8
10000 ÷ 8

=

4773
1250
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