Question

Calculate the value of the following expression: \[ \frac{(0.12562 \times 0.3179)}{(0.9537) \times (0.25124)}. \]

• A. \( \frac{2}{3} \)
• B. \( \frac{3}{5} \)
• C. \( \frac{1}{3} \)
• D. \( \frac{1}{6} \)

Hint:

For fractional multiplication and division, perform the operations on the numerator and denominator separately before simplifying.

Answer 1

The Correct Option is D

We are given the expression: \[ \frac{(0.12562 \times 0.3179)}{(0.9537) \times (0.25124)}. \] Step 1: Multiply the numbers in the numerator: \[ 0.12562 \times 0.3179 = 0.0399. \] Step 2: Multiply the numbers in the denominator: \[ 0.9537 \times 0.25124 = 0.2397. \] Step 3: Now divide the numerator by the denominator: \[ \frac{0.0399}{0.2397} = \frac{1}{6}. \] Thus, the value of the given expression is \( \frac{1}{6} \).