Converting 10.1805 to a Fraction
Step-by-step explanation of how to convert 10.1805 to a fraction

Result

10.1805 =
20361
2000
Mixed number:
10
361
2000

Step 1: Identify the number of decimal places

The decimal 10.1805 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.1805 × 10000 = 101805

Step 3: Write as a fraction

10.1805 =

101805
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 101805 and 10000.

GCD(101805, 10000) = 5

Divide both the numerator and denominator by the GCD:

101805
10000

=

101805 ÷ 5
10000 ÷ 5

=

20361
2000
Related Conversions
Other decimal to fraction conversions you might find useful