7×11÷14x266y

To divide by a fraction, multiply by its reciprocal.

7×11⋅66y14x2

Factor 7x out of 14×2.

7×11⋅66y7x(2x)

Cancel the common factor.

7×11⋅66y7x(2x)

Rewrite the expression.

111⋅66y2x

111⋅66y2x

Factor 11 out of 66y.

111⋅11(6y)2x

Cancel the common factor.

111⋅11(6y)2x

Rewrite the expression.

6y2x

6y2x

Factor 2 out of 6y.

2(3y)2x

Cancel the common factors.

Factor 2 out of 2x.

2(3y)2(x)

Cancel the common factor.

2(3y)2x

Rewrite the expression.

3yx

3yx

3yx

Divide ((7x)/11)÷((14x^2)/(66y))