(5a +7b)b/(b+2b)=? 4a ,4ab , 2a+4b , 5a+7b/3 , 5a+5b

The correct answer is:  [D]:  " [tex] \frac{5a + 7b}{3} [/tex] " .
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Explanation:
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[tex] \frac{b(5a + 7b)}{b +2b} [/tex] ; 

Simplify the "denominator" ;   →  (b + 2b = 1b + 2b = 3b) ; 

 and rewrite: 

[tex] \frac{b(5a + 7b)}{3b} [/tex] ; 

Cancel out the "b" in the "numerator" to a "1" ; 
              and cancel the "3b" in the "denominator to a "3" ; 

{since:  "b ÷ b = 1 ";  and since:  "3b ÷ b = 3" } ;

and rewrite as:
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            [tex] \frac{5a + 7b}{3} [/tex] ; 
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   →  which is:  Answer choice:  [D]:  "  [tex] \frac{5a + 7b}{3} [/tex] " .
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