how do i do the missing factor method to find the quotient of 3/5 divided by 2/3

(3/5) / (2/3) = (3/5) * (3/2) = 9/10

I feel so dumb, I have a nasty head cold so my thinking is not clear today. Thanks for your help. Now I can finish the rest of them in that section.

To find the quotient of two fractions using the missing factor method, you need to follow these steps:

Step 1: Write down the division problem.
3/5 ÷ 2/3

Step 2: Rewrite the division as multiplication.
3/5 * 3/2

Step 3: Find the missing factors by determining what needs to be multiplied to each fraction to make its denominator the same.

In this case, the denominator 5 needs to be turned into 15, and the denominator 2 needs to be turned into 15 as well.

For the first fraction, multiply both the numerator and the denominator by 3:
(3 * 3) / (5 * 3) = 9/15

For the second fraction, multiply both the numerator and the denominator by 5:
(2 * 5) / (3 * 5) = 10/15

Step 4: Multiply the fractions.
9/15 * 10/15

Step 5: Simplify the resulting fraction, if necessary.
The numerator and denominator both have a common factor of 5:
(9/5) * (10/5) = 90/75

Step 6: Reduce the fraction to its simplest form.
Divide the numerator and denominator by their greatest common divisor, which is 15:
90 ÷ 15 / 75 ÷ 15 = 6/5

The quotient of 3/5 ÷ 2/3 is 6/5.