Two-thirds of the insurance policies Alex sells are business insurance policies and 1/4 of the businesses qualify for a small business discount. What fraction of all the insurance policies Alex sells qualify for a small business discount
Let's assume Alex sells 100 insurance policies.
Two-thirds of these policies are business insurance policies, which is (2/3) * 100 = <<(2/3)*100=66.67>>66.67 policies.
Out of these business insurance policies, 1/4 qualify for a small business discount, which is (1/4) * 66.67 = 16.67 policies.
Therefore, 16.67 out of 100 policies qualify for a small business discount.
To express this as a fraction, the fraction of all the insurance policies that qualify for a small business discount is 16.67/100, which simplifies to 1/6.