Question

Write each percent as a fraction in simplest form and as a decimal to the nearest hundredth.

1. 30%
2.42%
3.18%
4.35%
5.100%
6.29%
7.56%
8.66 2/3%
9.25%

Answer 1

`p\%=(p)/(100)=p:100`

`1.\ 30\%=(30)/(100)=(3)/(10)\\\\30\%=30:100=0.3\\\\2.\ 42\%=(42)/(100)=(42:2)/(100:2)=(21)/(50)\\\\42\%=42:100=0.42\\\\3.\ 18\%=(18)/(100)=(18:2)/(100:2)=(9)/(50)\\\\18\%=18:100=0.18`

`4.\ 35\%=(35)/(100)=(35:5)/(100:5)=(7)/(20)\\\\35\%=35:100=0.35\\\\5.\ 100\%=(100)/(100)=(1)/(1)=1\\\\100\%=100:100=1.0\\\\6.\ 29\%=(29)/(100)\\\\29\%=29:100=0.29`

`7.\ 56\%=(56)/(100)=(56:4)/(100:4)=(14)/(25)\\\\56\%=56:100=0.56\\\\8.\ 66(2)/(3)\%=(66\cdot3+2)/(3)\%=(200)/(3)\%\\\\(200)/(3)\%=((200)/(3))/(100)=(200)/(3\cdot100)=(2)/(3)\\\\(200)/(3)\%=(200)/(3):100=66.666...:100=0.666...\approx0.67\\\\9.\ 25\%=(25)/(100)=(25:25)/(100:25)=(1)/(4)\\\\25\%=25:100=0.25`