How do you determine how far Doris can travel is Doris’s truck gets $10 \frac{2}{3}$ $10 \frac{2}{3}$ miles per gallon and her tank has $5 \frac{1}{2}$ $5 \frac{1}{2}$ gallons of gas?

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Answer 1 · 2014-09-28T22:30:33

Doris' truck has mileage 10 $\frac{2}{3}$ $2/3$ miles per gallon of gas, which can be written as $\frac{32}{3}$ $32/3$ miles per gallon of gas.

Doris can drive $\frac{32}{3}$ $32/ 3$ miles using one gallon of gas.

Doris has 5 $\frac{1}{2}$ $1/2$ gallons of gas.

On 1 gallons she can drive $\frac{32}{3}$ $32/3$ miles/ gallon

On 5 gallons she can drive ( $\frac{32}{3}$ $32/3$ ) miles / gallon x 5 gallon

= $(\frac{160}{3})$ $(160/3)$ mile

On 1 gallons she can drive $\frac{32}{3}$ $32/3$ miles/ gallon

On half a gallon she can drive ( $\frac{32}{3}$ $32/3$ ) miles / gallon x 0.5 gallon

= (32 x 0.5 ) / 3 = $(\frac{16}{3})$ $(16 /3)$ miles.

on 5 $\frac{1}{2}$ $1/2$ gallons of gas she can travel $(\frac{160}{3})$ $(160/3)$ mile + $(\frac{16}{3})$ $(16 /3)$ mile.

$\frac{160 + 16}{3}$ $(160 + 16 )/ 3$ = $\frac{176}{3}$ $176 /3$ = 58.67 mile.

How do you determine how far Doris can travel is Doris’s truck gets 102310 \frac{2}{3} miles per gallon and her tank has 5125 \frac{1}{2} gallons of gas?