How do you simplify -8/33div(-20/39)?

Feb 16, 2017

$\frac{26}{55}$

Explanation:

For a division sign, you can flip the other side of the equation and multiply instead. You will get

$\left(- \frac{8}{33}\right) \times \left(- \frac{39}{20}\right)$

The negatives cancel out so let's not worry about that. If you look at the $8$ and $20$, you can divide both by $2$ and get in return a $4$ from the $8$ and $10$ from the $20$.

Then for the $33$ and $39$, if you divide both by $3$, you will get an $11$ from the $33$ and a $13$ from the $39$.

But from there, you can take out another $2$ from the $4$ and $10$ to get $2$ and $5$.

Multiply the numerators together and the denominators together.

$\frac{8 \times 39}{33 \times 20} = \frac{{\cancel{8}}^{2} \times {\cancel{39}}^{13}}{{\cancel{33}}^{11} \times {\cancel{20}}^{5}} = \frac{2 \times 13}{5 \times 11}$