Q:

Simplify -62 ÷ 12 - 2(-7).

Accepted Solution

A:
Answer:Exact form: [tex]\frac{53}{6}[/tex]Mixed Number Form:[tex]8\frac{5}{6}[/tex]Step-by-step explanation: All you have to do is simplify the expression Simplify each term. Rewrite the division as a fraction. -62 /12  −  2  ⋅  −  7 Cancel the common factor of  − 62  and  12  Factor  2  out of  − 62 . 2 ( − 31 )/ 12  − 2  ⋅  − 7 Cancel the common factors. Factor  2 out of  12 .2⋅ − 31/ 2 ⋅ 6  − 2  . − 7 Cancel the common factor. thenRewrite the expression. − 31 /6  − 2  ⋅  − 7Move the negative in front of the fraction. − 31 /6  − 2  ⋅  − 7 Multiply  − 2 by  − 7  − 31 /6 +  14 To write  14  as a fraction with a common denominator, multiply by  6 /6 − 31 /6  +  14  ⋅ 6 /6Combine  14  and  6 /6 − 31  + 14 ⋅ 6/6 Combine the numerators over the common denominator. − 31  + 14 ⋅ 6 /6Simplify the numerator. multiply  14  by  6 -31  +  84 /6 Add  − 31  and  84 53 /6 The result can be shown in multiple forms. Exact Form: 53 /6 Mixed Number Form: 8  5 /6 It's a lot but i hope it helps