若a,b,c满足a/2=b/3=c/4,求1/a-1/b的值
问题描述:
若a,b,c满足a/2=b/3=c/4,求1/a-1/b的值
答
a=c/2.
b=3c/4.
原式=1/(c/2)-1/(3c/4)
=2/c-4/(3c)
=6/3c-4/3c
=2/(3c).