The answer is: 2 2/9 gal ; or, write as: 2.222 gal
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Explanation:
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(5/6) * (2 ⅔ ) = x ; Solve for "x"; which is our answer (in "gallons", or "gal").
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→ Write "2 ⅔ " as an improper fraction;
→ 2 ⅔ = [(3*2) + 2 ] / 3 = (6+2) / 3 = 8/3 ;
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→ Rewrite the problem, substituting "8/3" for "2 ⅔" ;
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→ [tex] \frac{5}{6} [/tex] * [tex] \frac{8}{3} [/tex] ;
→ The "6" and the "8" can be reduced; since both the "6" and the "8" can be divided by "2"; → So change the "6" to a "3" ; (since "6÷2 = 3");
→ and change the "8" to a "4"; (since "8÷2 = 4") ;
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→ and rewrite the equation as:
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→ [tex] \frac{5}{3} [/tex] * [tex] \frac{4}{3} [/tex] ;
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→ [tex] \frac{5}{3} [/tex] * [tex] \frac{4}{3} [/tex] =
[tex] \frac{(5*4)}{(3*3)} [/tex] =
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→ [tex] \frac{20}{9} [/tex] gallons =
→ 20 ÷ 9 =
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→ 2 2/9 gal ; or, write as: 2.222 gal
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