Question

estimate the difference using benchmarks.\\(\frac{8}{9} - \frac{5}{12}\\)\\(\\)\\(0\\)\\(\\)\\(\frac{1}{2}\\)\\(\\)\\(1\\)

Explanation:

Step1: 估算分数$\frac{8}{9}$

$\frac{8}{9}$接近1，可近似为1

Step2: 估算分数$\frac{5}{12}$

$\frac{5}{12}$接近$\frac{1}{2}$，可近似为$\frac{1}{2}$

Step3: 计算估算差值

$1 - \frac{1}{2} = \frac{1}{2}$

Answer:

$\frac{1}{2}$