Question

8 1/3% Convert each percent to a fraction and a decimal.

Answer 1

We must convert the percentage 8 1/3% to:

0. a fraction,

,

1. a decimal.

First, we rewrite the number 8 1/3 in the following way:

`8\text{ 1/3 }=8+(1)/(3)=8\cdot1+(1)/(3)=8\cdot(3)/(3)+(1)/(3)=(8\cdot3+1)/(3)=(25)/(3)\text{.}`

Now, we have that:

`8\text{ 1/3 \% }=(25)/(3)\text{ \%.}`

1) Because 8 1/3 % is 8 1/3 per 100, we have that:

`8(1)/(3)％=(8(1)/(3))/(100)=((25)/(3))/(100)=(25)/(3\cdot100)=(25)/(3\cdot4\cdot25)=(1)/(12)\text{.}`

2) Using a calculator, we have:

`8(1)/(3)％=(1)/(12)\cong0.083.`

Answer

• 8 1/3% as a ,fraction, is ,1/12,,

,

• 8 1/3% as a ,decimal, is ,0.083,.