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

Sagot :

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:

[tex]8\text{ 1/3 }=8+\frac{1}{3}=8\cdot1+\frac{1}{3}=8\cdot\frac{3}{3}+\frac{1}{3}=\frac{8\cdot3+1}{3}=\frac{25}{3}\text{.}[/tex]

Now, we have that:

[tex]8\text{ 1/3 \% }=\frac{25}{3}\text{ \%.}[/tex]

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

[tex]8\frac{1}{3}%=\frac{8\frac{1}{3}}{100}=\frac{\frac{25}{3}}{100}=\frac{25}{3\cdot100}=\frac{25}{3\cdot4\cdot25}=\frac{1}{12}\text{.}[/tex]

2) Using a calculator, we have:

[tex]8\frac{1}{3}%=\frac{1}{12}\cong0.083.[/tex]

Answer

• 8 1/3% as a ,fraction, is ,1/12,,

,

• 8 1/3% as a ,decimal, is ,0.083,.

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