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Help in solving algebra word problems

Algebra
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If you drive 232 miles on 14 1/2 gallons of gas, what is the simplified ratio of miles to gallons

14
Oct 29th, 2014

232 miles : 14 1/2

It can also be written as 

= 232 miles : 14 + 1/2

Now 

= 232 miles : (28 + 1)/2

= 232 miles : (29)/2

Which is simplified

Now the above expression is also be written as

= 232 / 29 / 2

= 2 * 232 / 29

= 464 / 29

Hence

= 16

Oct 29th, 2014

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