convert 89/6 to a mixed number

Question

zepdrix · Answer

`One full unit` can be expressed as $\dfrac{6}{6}$.
`Two full units` can be expressed as $\dfrac{12}{6}$

We have $-\dfrac{89}{6}$.
We want to see how many full units we can pull out of this fraction.
If you punch this fraction into your calculator $89 \div 6$, you get a value of $14.8333333$.

Which is telling us that this fraction can be written as $14$ whole units with some remainder left over.

So let's multiply $6$ and $14$ and see how much we're left over with.
$6\cdot14=84$. We'll subtract this amount from our 89.

$89-84=5$.
So we can write this fraction as $14$ whole units, and $5$ out of $6$ left over.

$$\large -\frac{89}{6} \quad = \quad -14\frac{5}{6}$$

zepdrix · Answer

Oh sorry, there originally was a negative sign when you posted the question :)
Just ignore the negatives in my comments then.