n8=48

Factor 4 out of 4.

n8=4(1)8

Cancel the common factors.

Factor 4 out of 8.

n8=4⋅14⋅2

Cancel the common factor.

n8=4⋅14⋅2

Rewrite the expression.

n8=12

n8=12

n8=12

Multiply each term by a factor of 1 that will equate all the denominators. In this case, all terms need a denominator of 8. The 12 expression needs to be multiplied by 44 to make the denominator 8.

n8=12⋅44

Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 8.

1(4)

Multiply 4 by 1.

n8=48

n8=48

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

n=4

Solve for n n/8=4/8