Changing per cent to a fraction: 266 - 2/3

Re: Changing per cent to a fraction

>Write 266-2/3 as a fraction or a mixed number.

As written you would subtract 2/3 from 266. The answer would already be a mixed number. So, I assume you mean 266 [sup:2ckzsc0w]2[/sup:2ckzsc0w]/[sub:2ckzsc0w]3[/sub:2ckzsc0w]%. Looking at a similar example:

If you had given me 116 [sup:2ckzsc0w]2[/sup:2ckzsc0w]/[sub:2ckzsc0w]3[/sub:2ckzsc0w]%, I would first realize that "%" (percent) means "÷100", so I could change 116 [sup:2ckzsc0w]2[/sup:2ckzsc0w]/[sub:2ckzsc0w]3[/sub:2ckzsc0w]% to:

. . . . . . . . . . \(\displaystyle \left(116\frac{2}{3}}\right) \div 100\)

...or:

. . . . . . . . . . (11623)100\displaystyle \frac{\left(116\frac{2}{3}\right)}{100}

I would change the 116 [sup:2ckzsc0w]2[/sup:2ckzsc0w]/[sub:2ckzsc0w]3[/sub:2ckzsc0w] to an improper fraction getting 350/3. So my problem becomes:

. . . . . . . . . . 3503×1100\displaystyle \frac{350}{3}\times\frac{1}{100}

Doing the multiplication and reducing I get 7/6 which can be written as a mixed number as:

. . . . . . . . . . 116\displaystyle 1\frac{1}{6}

I'll leave you to figure out the intermediate steps and why they were taken and apply them to your problem. There are other techniques. Possibly, you would prefer one of them.
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Edited by stapel -- Reason for edit: Formatting.
 
Loren,

Be careful about mixing LaTex and and regular text in the same line (at least in this board) - line positions become weird and things can become really confusing.
 
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