27=14θ

Multiply each term by a factor of 1 that will equate all the denominators. In this case, all terms need a denominator of 7θ. The 27 expression needs to be multiplied by θθ to make the denominator 7θ. The 14θ expression needs to be multiplied by 77 to make the denominator 7θ.

27⋅θθ=14θ⋅77

Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 7θ.

2(θ)

Multiply 2 by θ.

2θ7θ=14θ⋅77

Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 7θ.

14(7)

Multiply 14 by 7.

2θ7θ=987θ

2θ7θ=987θ

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

2θ=98

Divide each term in 2θ=98 by 2.

2θ2=982

Cancel the common factor of 2.

Cancel the common factor.

2θ2=982

Divide θ by 1.

θ=982

θ=982

Divide 98 by 2.

θ=49

θ=49

Solve for ? 2/7=14/theta