# Solve for a a/2+a/6=7

a2+a6=7
Simplify a2+a6.
To write a2 as a fraction with a common denominator, multiply by 33.
a2⋅33+a6=7
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply a2 and 33.
a⋅32⋅3+a6=7
Multiply 2 by 3.
a⋅36+a6=7
a⋅36+a6=7
Combine the numerators over the common denominator.
a⋅3+a6=7
Simplify the numerator.
Move 3 to the left of a.
3⋅a+a6=7
4a6=7
4a6=7
Cancel the common factor of 4 and 6.
Factor 2 out of 4a.
2(2a)6=7
Cancel the common factors.
Factor 2 out of 6.
2(2a)2(3)=7
Cancel the common factor.
2(2a)2⋅3=7
Rewrite the expression.
2a3=7
2a3=7
2a3=7
2a3=7
Multiply both sides of the equation by 32.
32⋅2a3=32⋅7
Simplify both sides of the equation.
Simplify 32⋅2a3.
Cancel the common factor of 3.
Cancel the common factor.
32⋅2a3=32⋅7
Rewrite the expression.
12⋅(2a)=32⋅7
12⋅(2a)=32⋅7
Cancel the common factor of 2.
Factor 2 out of 2a.
12⋅(2(a))=32⋅7
Cancel the common factor.
12⋅(2a)=32⋅7
Rewrite the expression.
a=32⋅7
a=32⋅7
a=32⋅7
Multiply 32⋅7.
Combine 32 and 7.
a=3⋅72
Multiply 3 by 7.
a=212
a=212
a=212
The result can be shown in multiple forms.
Exact Form:
a=212
Decimal Form:
a=10.5
Mixed Number Form:
a=1012
Solve for a a/2+a/6=7

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