The problem requires us to evaluate the expression $\frac{1.68}{1.5^2 - 1.45}$. We need to first calculate $1.5^2$, then subtract $1.45$ from the result, and finally divide $1.68$ by the result.

ArithmeticArithmetic OperationsOrder of OperationsDecimal Arithmetic
2025/4/1

1. Problem Description

The problem requires us to evaluate the expression 1.681.521.45\frac{1.68}{1.5^2 - 1.45}. We need to first calculate 1.521.5^2, then subtract 1.451.45 from the result, and finally divide 1.681.68 by the result.

2. Solution Steps

First, calculate 1.521.5^2.
1.52=1.5×1.5=2.251.5^2 = 1.5 \times 1.5 = 2.25
Next, subtract 1.451.45 from 2.252.25.
2.251.45=0.82.25 - 1.45 = 0.8
Finally, divide 1.681.68 by 0.80.8.
1.680.8=16.88=8.44=4.22=2.1\frac{1.68}{0.8} = \frac{16.8}{8} = \frac{8.4}{4} = \frac{4.2}{2} = 2.1

3. Final Answer

2.1

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