Find the value of 15% of 1.5 + 0.15 ÷ 0.1 + 0.01 of 1.1 × 0.5 + 2.5 × 25.

The correct answer is 64.2305.

We need to evaluate the expression:

15% of 1.5 + 0.15 ÷ 0.1 + 0.01 of 1.1 × 0.5 + 2.5 × 25

We break this into four separate parts and compute each one individually, then add them together.

Part 1: 15% of 1.5

"of" means multiplication, and "15%" means $\frac{15}{100}$ = 0.15

= 0.15 × 1.5
= 0.225

Part 2: 0.15 ÷ 0.1

= $\frac{0.15}{0.1}$
= $\frac{15}{10}$
= 1.5

Part 3: 0.01 of 1.1 × 0.5

Here, "of" again means multiplication. We evaluate left to right:

= 0.01 × 1.1 × 0.5
= 0.011 × 0.5
= 0.0055

Part 4: 2.5 × 25

= 2.5 × 25
= 62.5

Final Addition:

Now we add all four parts together:

= 0.225 + 1.5 + 0.0055 + 62.5

Step-by-step:
0.225 + 1.5 = 1.725
1.725 + 0.0055 = 1.7305
1.7305 + 62.5 = 64.2305

Therefore, the value of the expression is 64.2305.