Simplify: (0.1×0.1+0.2×0.2)/(0.3×0.3+0.6×0.6)

Correct option is D

We need to evaluate the expression: (0.1 × 0.1 + 0.2 × 0.2) / (0.3 × 0.3 + 0.6 × 0.6)

First, calculate the numerator: 0.1 × 0.1 = 0.01 and 0.2 × 0.2 = 0.04

So, the numerator becomes: 0.01 + 0.04 = 0.05

Next, calculate the denominator: 0.3 × 0.3 = 0.09 and 0.6 × 0.6 = 0.36

So, the denominator becomes: 0.09 + 0.36 = 0.45

Now, the expression simplifies to: 0.05 / 0.45

Finally, 0.05 ÷ 0.45 = 1 / 9