Question

The value \( 0.163 \) in the form of \( \frac{P}{Q} \) is:

• A. \( \frac{8}{25} \)
• B. \( \frac{7}{25} \)
• C. \( \frac{16}{63} \)
• D. \( \frac{9}{55} \)

Hint:

To convert a decimal to a fraction, express it as a ratio of integers, then simplify the fraction by dividing both the numerator and denominator by their greatest common divisor.

Answer 1

The Correct Option is D

Step 1: Write \( 0.163 \) as a fraction: \[ 0.163 = \frac{163}{1000} \] Step 2: Simplify the fraction: \[ \frac{163}{1000} = \frac{9}{55} \] Thus, the value of \( 0.163 \) in the form of \( \frac{P}{Q} \) is \( \frac{9}{55} \).