Question

Subtract. Write your answer in simplest form.
9
3–7
48

Answer 1

The
`(48)/(35)` is simplest form.

To subtract the two fractions
`(9)/(-5)` and
`(3)/(7)` , we need to find a common denominator.

The common denominator is the product of the denominators, which is (−5)×7=−35.

Now, we'll rewrite each fraction with the common denominator:

`(9)/(-5)` ×
`(7)/(7)` =
`(-63)/(-35)`

`(3)/(7)` ×
`(-5)/(-5)` =
`(-15)/(-35)`

Now, we can subtract the numerators and keep the common denominator:

`(-63)/(-35)` -
`(-15)/(-35)`

=
`(-63+15)/(-35)`

=
`(-48)/(-35)`

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor, which is 1:

`(-48)/(-35)` ÷ 1 =
`(-48)/(-35)`

Thus, the result of subtracting
`(9)/(-5)` -
`(3)/(7)` is
`(-48)/(-35)`

Note that a negative divided by a negative is positive, so the final simplified fraction is:
`(48)/(35)`

Therefore,
`(48)/(35)` is the result in simplest form.

Question

Subtract. (9)/(-5)-(3)/(7) Write your answer as a fraction in simplest form.