Converting 3.6858 to a Fraction
Step-by-step explanation of how to convert 3.6858 to a fraction

Result

3.6858 =
18429
5000
Mixed number:
3
3429
5000

Step 1: Identify the number of decimal places

The decimal 3.6858 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.6858 × 10000 = 36858

Step 3: Write as a fraction

3.6858 =

36858
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 36858 and 10000.

GCD(36858, 10000) = 2

Divide both the numerator and denominator by the GCD:

36858
10000

=

36858 ÷ 2
10000 ÷ 2

=

18429
5000
Related Conversions
Other decimal to fraction conversions you might find useful