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estimate the difference using benchmarks. \\(\frac{5}{12} - \frac{3}{8}…

Question

estimate the difference using benchmarks.
\\(\frac{5}{12} - \frac{3}{8}\\)
0
\\(\frac{1}{2}\\)
1

Explanation:

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

Answer:

0