六年级简便运算:(1)2又2/3*(1又7/8-5/6)/[3又1/4/(1/8+1又5/6)] (2)84又4/19*1.375+105又5/19*0.9
问题描述:
六年级简便运算:(1)2又2/3*(1又7/8-5/6)/[3又1/4/(1/8+1又5/6)] (2)84又4/19*1.375+105又5/19*0.9
(1)2又2/3*(1又7/8-5/6)除[3又1/4除(1/8+1又5/6)] (2)84又4/19*1.375+105又5/19*0.9
/=分数线
答
= 8/3*(1又7/8-5/6)*(1/8+1又5/6)/3又1/4
= 8/3*(15/8-5/6)*(1/8+11/6)*4/7
=(8/3*15/8-8/3*5/6)*(1/8*4/7+11/6*4/7)
=(5-20/9)*(1/14+22/21)
=25/9*47/42
=1175/378
=(84*19+4)/19*(11/8)+(105*19+5)/19*(9/10)
=4*(21*19+1)/19*11/8+5*(21*19+1)/19*9/10
=11*(21*19+1)/38+9*(21*19+1)/38
=11*(21*19+1)/38+9*(21*19+1)/38
=(21*19+1)/38*(11+9)
=400*10/19
=4000/19