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estimate the difference using benchmarks. \\(\frac{6}{10} - \frac{1}{9}…

Question

estimate the difference using benchmarks.
\\(\frac{6}{10} - \frac{1}{9}\\)
\\(0\\) \\(\frac{1}{2}\\)
\\(1\\)

Explanation:

Step1: 基准数估算分数

$\frac{6}{10}$接近$\frac{1}{2}$(或0.5),更接近1吗?不,$\frac{6}{10}=0.6$,接近$\frac{1}{2}$;$\frac{1}{9}\approx0.11$,接近0。

Step2: 计算估算差值

用基准数计算:$\frac{1}{2}-0=\frac{1}{2}$,或者直接计算准确值验证:$\frac{6}{10}-\frac{1}{9}=\frac{54-10}{90}=\frac{44}{90}\approx0.49$,接近$\frac{1}{2}$。

Answer:

$\frac{1}{2}$