Final answer:
To solve the equation mentally, multiply both sides by the reciprocal of 7/3, resulting in x = 4/3. This checked solution confirms that it is reasonable when substituted back into the original equation.
Step-by-step explanation:
To solve the equation x • ⅓ = 1 mentally for x, we want to isolate x by doing the inverse operation. We can do this by dividing both sides of the equation by ⅓, which is equivalent to multiplying by its reciprocal, ¾. Doing so, we get x = 1 × ¾, which simplifies to our solution x = 4/3.
Let's check the answer to ensure it is reasonable. If you multiply 4/3 by ⅓, you indeed get 1. This verifies that our solution makes sense.