Question

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

Answer 1

`69/152`

Explanation:

think of it this way `(9/57)/(8/23)`

and `(9/57)/(8/23)=9/7 * 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

Answer 2

I get `{69}/{152}`.

Explanation:

First note that `{9}/{57}` has multiples of `3` in the numerator and denominator, so divide them both by `3` to get `{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}`