Question

Solve for \[f\]: \[f\div -\dfrac{2}{3}= -\dfrac{1}{3}\]

Answer 1

To solve the given equation for f, multiply both sides by -⅔. The negatives cancel out and the right side becomes ⅔. Thus, f equals ⅔.

Step-by-step explanation:

To solve for f in the equation f ÷ -⅔ = -⅓, you'll need to isolate f on one side of the equation. This can be done by multiplying both sides of the equation by the divisor, which in this case is -⅔. Here's how you do it step-by-step:

1. Multiply both sides of the equation by -⅔ to get rid of the fraction on the left side.
2. This gives you f ÷ -⅔ × -⅔ = -⅓ × -⅔.
3. The -⅔ cancels out on the left side, leaving you with f.
4. On the right side, you have -⅓ multiplied by -⅔ which gives you ⅔ because the negatives cancel out and the product of the fractions is 1/9.
5. Thus, f = ⅔.

So the solution to the equation is f = ⅔.