MATH SOLVE

4 months ago

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