Converting 3.8074 to a Fraction
Step-by-step explanation of how to convert 3.8074 to a fraction

Result

3.8074 =
19037
5000
Mixed number:
3
4037
5000

Step 1: Identify the number of decimal places

The decimal 3.8074 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.8074 × 10000 = 38074

Step 3: Write as a fraction

3.8074 =

38074
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 38074 and 10000.

GCD(38074, 10000) = 2

Divide both the numerator and denominator by the GCD:

38074
10000

=

38074 ÷ 2
10000 ÷ 2

=

19037
5000
Related Conversions
Other decimal to fraction conversions you might find useful