简便方法:两次运用乘法分配律:
2/3+8×(7/8-5/6)
=2/3+8×7/8-8×5/6……乘法分配律
=2/3+7-10×2/3
=7+2/3×(1-10)……乘法分配律
=7-2/3×9
=7-6
=1
先去括号,再对同分母的算式先进行加减。具体运算步骤如下:
2/3+8×(7/8-5/6)
=2/3+7-20/3
=7-18/3
=7-1
=1
所以,结果为1。
运用乘法分配律,将等号中式子乘开:
2/3+8 x (7/8-5/6)
=2/3+8 x 7/8-8 x 5/6
=2/3+7-20/3
=-18/3+7
=-18/3+21/3
=1
=2/3+7-20/3=7-18/3=7-6=1简便运算如上
请理解以上解答过程
解:2/3十8X(7/8一5/6)
=2/3十8X7/8一8X5/6
=4/6十7一40/6
=4/6十42/6一40/6
=(4十42一40)/6
=6/6
=1