Converting 0.13845 to a Fraction
Step-by-step explanation of how to convert 0.13845 to a fraction

Result

0.13845 =
2769
20000

Step 1: Identify the number of decimal places

The decimal 0.13845 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.13845 × 100000 = 13845

Step 3: Write as a fraction

0.13845 =

13845
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13845 and 100000.

GCD(13845, 100000) = 5

Divide both the numerator and denominator by the GCD:

13845
100000

=

13845 ÷ 5
100000 ÷ 5

=

2769
20000
Related Conversions
Other decimal to fraction conversions you might find useful