Question

Simplify the following:
\(\frac{0.3 \times 0.3 + 0.03 \times 0.03 - 0.6 \times 0.03}{0.54}\)

• A. 0.03
• B. 9.37
• C. 0.982
• D. 0.135

Answer 1

The Correct Option is D

To simplify the given mathematical expression:

\(\frac{0.3 \times 0.3 + 0.03 \times 0.03 - 0.6 \times 0.03}{0.54}\)

Let's solve it step by step: 

1. Calculate each term in the numerator:
   • \(0.3 \times 0.3 = 0.09\)
   • \(0.03 \times 0.03 = 0.0009\)
   • \(0.6 \times 0.03 = 0.018\)
2. Simplify the numerator by substituting the calculated values:

\(0.09 + 0.0009 - 0.018 = 0.0729\)

1. Divide the simplified numerator by the denominator:

\(\frac{0.0729}{0.54} = 0.135\)

Therefore, the simplified value of the given expression is 0.135.

Thus, the correct answer is 0.135.