Converting 3.8158 to a Fraction
Step-by-step explanation of how to convert 3.8158 to a fraction

Result

3.8158 =
19079
5000
Mixed number:
3
4079
5000

Step 1: Identify the number of decimal places

The decimal 3.8158 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.8158 × 10000 = 38158

Step 3: Write as a fraction

3.8158 =

38158
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 38158 and 10000.

GCD(38158, 10000) = 2

Divide both the numerator and denominator by the GCD:

38158
10000

=

38158 ÷ 2
10000 ÷ 2

=

19079
5000
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