Final answer:
To solve (2/3) divided by what equals 1, multiply both sides by the reciprocal of 2/3, which is 3/2. This provides the solution x = 3/2, or 1.5.
Step-by-step explanation:
To find out what number 2/3 is divided by to equal 1, you need to understand the concept of reciprocals. In this case, if we have the fraction 2/3 and we want to divide it by a number (let's call this number x) to get 1, we can set up the equation as (2/3) / x = 1.
To solve for x, remember that dividing by a fraction is the same as multiplying by its reciprocal. Thus, multiplying both sides of the equation by x and then by the reciprocal of 2/3 (which is 3/2), we get:
x * (2/3) * (3/2) = 1 * (3/2)
This simplifies to x * 1 = 3/2, so x = 3/2 or 1.5. Therefore, 2/3 divided by 3/2 equals 1.