Question

What’s -4 1/2 divided by (-1 3/8) Diving Mixed Numbers with negatives?

Answer 1

`= - (5 (3)/(5) )`

Explanation:

`- 4 (1)/(2) / ( -1 (3)/(8) )`

`= - 4 (1)/(2) / -1 (3)/(8)`

`= ((2 * ( - 4) + 1))/(2) / ((8 * ( - 1) + 3)/(8)`

`= ( - 7)/(2) / ( - 5)/(8)`

`= ( - 7)/(2) * (8)/( - 5)`

`= ( (- 7 )* 8)/(2 * ( - 5))`

`= ( - 56)/(( - 10))`

`= - (5 (6)/(10) )`

`= - (5 (3)/(5) )`

Answer 2

3 3/11

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