Converting 0.1835 to a Fraction
Step-by-step explanation of how to convert 0.1835 to a fraction

Result

0.1835 =
367
2000

Step 1: Identify the number of decimal places

The decimal 0.1835 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.1835 × 10000 = 1835

Step 3: Write as a fraction

0.1835 =

1835
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1835 and 10000.

GCD(1835, 10000) = 5

Divide both the numerator and denominator by the GCD:

1835
10000

=

1835 ÷ 5
10000 ÷ 5

=

367
2000
Related Conversions
Other decimal to fraction conversions you might find useful