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Answer:

3  3/11

Step-by-step explanation:

The best way to divide fractions is to not divide them at all.

Convert both mixed numbers into improper fractions.

4 times 2 is 8

8 + 1 is 9

I have 9/2 halves. Don't forget to put the negative back in.

1 times 8 is 8

8 + 3 is 11

I have 11/8 eighths. Dont forget to put the negative back in.

You will end up with

-9/2 ÷ -11/8

Flip the second fraction and change the division sign to a multiply sign

-9/2 × 8/-11

Multiply the numerators together and the denominators together

-9 x 8 and 2 x -11

-72 / -22

Dividing a negative by a negative will give us a positive

72 / 22

Simplify by dividing the top and bottom by 2

36/11

We cannot simplify further. You can answer like this or convert back into a mixed number.

There are 3 sets of 11 in 36, with 3 left over

3  3/11

Answer:

[tex] = - (5 \frac{3}{5} )[/tex]

Step-by-step explanation:

[tex] - 4 \frac{1}{2} \div ( -1 \frac{3}{8} )[/tex]

[tex] = - 4 \frac{1}{2} \div -1 \frac{3}{8} [/tex]

[tex] = \frac{(2 \times ( - 4) + 1)}{2} \div \frac{(8 \times ( - 1) + 3}{8} [/tex]

[tex] = \frac{ - 7}{2} \div \frac{ - 5}{8} [/tex]

[tex]= \frac{ - 7}{2} \times \frac{8}{ - 5} [/tex]

[tex] = \frac{ (- 7 )\times 8}{2 \times ( - 5)} [/tex]

[tex] = \frac{ - 56}{( - 10)} [/tex]

[tex] = - (5 \frac{6}{10} )[/tex]

[tex] = - (5 \frac{3}{5} )[/tex]