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estimate the difference using benchmarks. \\(\frac{5}{8} - \frac{1}{9}\…

Question

estimate the difference using benchmarks.
\\(\frac{5}{8} - \frac{1}{9}\\)
0
\\(\frac{1}{2}\\)
1

Explanation:

Step1: 估算第一个分数

$\frac{5}{8}$接近$\frac{1}{2}$(即$\frac{4}{8}$),且略大于$\frac{1}{2}$

Step2: 估算第二个分数

$\frac{1}{9}$接近0,远小于$\frac{1}{2}$

Step3: 计算估算差值

用$\frac{1}{2} - 0 = \frac{1}{2}$

Answer:

$\boldsymbol{\frac{1}{2}}$