Let's carefully evaluate the expression step-by-step:
Expression: (2.88 ÷ 0.48 * 7.5 - 5.6) • ((5.4 - 2.9) • (4.7 + 0.06))
Step 1: Simplify inside brackets
- First part: (2.88 ÷ 0.48 * 7.5 - 5.6)
- Second part: (5.4 - 2.9) and (4.7 + 0.06)
Calculating the first brackets:
2.88 ÷ 0.48 = 6
6 * 7.5 = 45
45 - 5.6 = 39.4
Calculating the second brackets:
5.4 - 2.9 = 2.5
4.7 + 0.06 = 4.76
Now multiply: 2.5 * 4.76 = 11.9
Final calculation:
- Multiply the two main results: 39.4 * 11.9 =
Let's do this multiplication:
- 39.4 * 11.9
Break it down:
= 39.4 * (10 + 1.9)
= 39.4 * 10 + 39.4 * 1.9
= 394 + (39.4 * 1.9)
Calculate 39.4 * 1.9:
39.4 * 1.9 = (39.4 * 2) - (39.4 * 0.1)
39.4 * 2 = 78.8
39.4 * 0.1 = 3.94
Subtract: 78.8 - 3.94 = 74.86
Add back to previous sum:
394 + 74.86 = 468.86
Final answer:
\(\boxed{468.86}\)
Let me know if you'd like the answer rounded or in a different format!