Simplify ((6s+12)/(s+2))÷4

Math
6s+12s+2÷4
Rewrite the division as a fraction.
6s+12s+24
Multiply the numerator by the reciprocal of the denominator.
6s+12s+2⋅14
Factor 6 out of 6s+12.
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Factor 6 out of 6s.
6(s)+12s+2⋅14
Factor 6 out of 12.
6s+6⋅2s+2⋅14
Factor 6 out of 6s+6⋅2.
6(s+2)s+2⋅14
6(s+2)s+2⋅14
Cancel the common factor of 2.
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Factor 2 out of 6(s+2).
2(3(s+2))s+2⋅14
Factor 2 out of 4.
2(3(s+2))s+2⋅12(2)
Cancel the common factor.
2(3(s+2))s+2⋅12⋅2
Rewrite the expression.
3(s+2)s+2⋅12
3(s+2)s+2⋅12
Multiply 3(s+2)s+2 and 12.
3(s+2)(s+2)⋅2
Cancel the common factor of s+2.
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Cancel the common factor.
3(s+2)(s+2)⋅2
Rewrite the expression.
32
32
The result can be shown in multiple forms.
Exact Form:
32
Decimal Form:
1.5
Mixed Number Form:
112
Simplify ((6s+12)/(s+2))÷4

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