Question

Which expression has a positive quotient?

Negative three-fourths divided by Negative two-thirds
Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth
2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth
Negative 6 divided by Five-thirds

Answer 1

its A

Explanation:

i did the test

Answer 2

Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Explanation:

We will solve to find out Which expression has a positive quotient.

We know the division rule:
`(-a)/(-b)=(a)/(b)` and
`(-a)/(b)=(-a)/(b)`

We will use these rules

1) Negative three-fourths divided by Negative two-thirds

`=(-(3)/(4) )/(-(2)/(3) )\\=-(3)/(4)* -(3)/(2)\\=(9)/(8)`

The quotient is positive.

2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth

`(-(1)/(8) )/(3(1)/(5) )\\=(-(1)/(8) )/((16)/(5) )\\=-(1)/(18) * (5)/(16)\\=-(5)/(288)`

The quotient is negative.

3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

`(2(2)/(7) )/(-(1)/(5) )\\= ((16)/(7) )/(-(1)/(5) )\\=(16)/(7) * -5\\=-(80)/(7)`

The quotient is negative.

4) Negative 6 divided by Five-thirds

`(-6)/((5)/(3) )\\=-6 * (3)/(5)\\=-(18)/(5)`

The quotient is negative.

So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.