A rational number is such that when you multiply it by 7/3 and subtract 3/2 from the product, you ge

A rational number is such that when you multiply it by 7/3 and subtract 3/2 from the product, you get 92. What is the number?

Let the rational number be x. We're given:
7x/3 - 3/2 = 92

Using a common denominator of 3*2 = 6, we rewrite this as:
14x/6 - 9/6 = 92
(14x - 9)/6 = 92

Cross multiply:
14x - 9 = 92 * 6
14x - 9 = 552

To solve for x, we type this equation into our search engine and we get:
x = 40.07