Write the division sentence. For example, you might have (6x/9y) / (2x/3y).
Flip the divisor to create a reciprocal. In this example, 2x/3y is the divisor. You would flip this fraction to make it 3y/2x.
Create a multiplication sentence using the reciprocal. In this example, you would write (6x/9y) * (3y/2x). This method of changing a division sentence to a multiplication sentence in which the dividend is multiplied times the divisor's reciprocal can be employed in any type of division
Multiply the numerators and the denominators. Write a single fraction illustrating the multiplication: (6x)(3y) / (9y)(2x).
Simplify the fraction if possible. Because 2x will fit into 6x three times and into itself once, you can simplify this part of the fraction to 3 (3y) / 9y (1). Then 3y will fit into 9y three times and into itself once, creating 3 (1) / 3 (1). Three times 1 on the numerator and denominator is 3/3, which simplifies to 1.