Converting 8.3678 to a Fraction
Step-by-step explanation of how to convert 8.3678 to a fraction

Result

8.3678 =
41839
5000
Mixed number:
8
1839
5000

Step 1: Identify the number of decimal places

The decimal 8.3678 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.3678 × 10000 = 83678

Step 3: Write as a fraction

8.3678 =

83678
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 83678 and 10000.

GCD(83678, 10000) = 2

Divide both the numerator and denominator by the GCD:

83678
10000

=

83678 ÷ 2
10000 ÷ 2

=

41839
5000
Related Conversions
Other decimal to fraction conversions you might find useful