Converting 0.189 to a Fraction
Step-by-step explanation of how to convert 0.189 to a fraction
Result
0.189 =
189
1000
Step 1: Identify the number of decimal places
The decimal 0.189 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.189 × 1000 = 189
Step 3: Write as a fraction
0.189 =
189
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 189 and 1000.
GCD(189, 1000) = 1
Divide both the numerator and denominator by the GCD:
189
1000
=
189 ÷ 1
1000 ÷ 1
=
189
1000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions