QUESTION IMAGE
Question
estimate the difference using benchmarks.
\\(\frac{5}{12} - \frac{3}{8}\\)
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\\(\frac{1}{2}\\)
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Step1: 用基准数估算分数
$\frac{5}{12}$接近$\frac{1}{2}$(即$\frac{6}{12}$),$\frac{3}{8}$接近$\frac{1}{2}$(即$\frac{4}{8}$)
Step2: 计算估算的差值
$\frac{1}{2} - \frac{1}{2} = 0$
Step3: 验证精确值辅助判断
先通分计算精确值:$\frac{5}{12}-\frac{3}{8}=\frac{10}{24}-\frac{9}{24}=\frac{1}{24}$,结果接近0
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