已知4a=5b,求(a-b)/b,a/(a+b),(a+b)/b

问题描述:

已知4a=5b,求(a-b)/b,a/(a+b),(a+b)/b

已知:4a=5b
故:a=5b/4 b=4a/5
1) (a-b)/b
=(5b/4 - b) / b
=(1/4b) / b
=1/4
2) a/(a+b)
=a/(a+4a/5)
=a/ (9a/5)
=5/9
3) (a+b)/b
=(5b/4+b)/b
=(9b/4)/b
=9/4