# What is 9/57 -: 8/23?

Mar 10, 2018

$\frac{69}{152}$

#### Explanation:

think of it this way $\frac{\frac{9}{57}}{\frac{8}{23}}$

and $\frac{\frac{9}{57}}{\frac{8}{23}} = \frac{9}{7} \cdot \frac{23}{8}$ so now you just multiply the equation

how? well think it isn't really easy to explain it while typing however I have linked a video from YouTube where some one will explain it to you.

however the very simple trick is to flip the divider and turn the divide sign into multiply.

NOTE: the divider is the one to the right of the divide sign.

Hope this helped

Mar 10, 2018

I get $\frac{69}{152}$.

#### Explanation:

First note that $\frac{9}{57}$ has multiples of $3$ in the numerator and denominator, so divide them both by $3$ to get $\frac{3}{19}$ which is in lowest terms.

Now apply the rule that when you divide by a reaction, you multiply by the inverted fraction. Thus

{3}/{19}\div color(blue)({8}/{23})={3}/{19}× color(blue)({23}/{8})

And then multiply the fractions as you ordinarily would:

{3}/{19}×{23}/{8}={3×23}/{19×8}={69}/{152}