Question

How do you solve `-\frac{4}{7}v=-8\frac{2}{3}`?

Answer 1

We reverse operations and turn fractions into decimals; the solution is `182/3`, or `60 2/3`.

Explanation:

So we start with:
`-4/7v = -8 2/3`
We should probably get rid of that mixed number, `-8 2/3`.

To do that, we multiply eight by three and add it to the numerator. If we do this, we get `-26/3`.
It's the same number, just easier to work with.

Here's our current equation:
`-4/7v = -26/3`
We'd then use multiplication to undo the division that the fraction represents.

So we'll multiply both sides of the equation by 7, as we want our variable to be alone.

It's important to remember than when you want to multiply a fraction by a whole number, just multiply the whole number by the numerator on the fraction and leave the denominator alone.

Now what we have is
`-v = -182/3`
because `-26*7 = -182`.

We'd just need to divide both sides by -1, you should always do this if your variable is negative at the final step.

This gives us `v = 182/3`, which can also be shown as a mixed number, `60 2/3`.