Converting 3.6805 to a Fraction
Step-by-step explanation of how to convert 3.6805 to a fraction

Result

3.6805 =
7361
2000
Mixed number:
3
1361
2000

Step 1: Identify the number of decimal places

The decimal 3.6805 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.6805 × 10000 = 36805

Step 3: Write as a fraction

3.6805 =

36805
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 36805 and 10000.

GCD(36805, 10000) = 5

Divide both the numerator and denominator by the GCD:

36805
10000

=

36805 ÷ 5
10000 ÷ 5

=

7361
2000
Related Conversions
Other decimal to fraction conversions you might find useful