Question

Which expression is equivalent to Negative 2 and one-fourth divided by negative two-thirds? StartFraction 9 over 4 EndFraction divided by three-halves Negative StartFraction 9 over 4 EndFraction divided by (negative two-thirds) Negative StartFraction 9 over 4 EndFraction divided by two-thirds StartFraction 9 over 4 EndFraction divided by (negative three-halves)

Answer 1

Negative StartFraction 9 over 4 EndFraction divided by (negative two-thirds)

or

-9/4 / -2/3

Explanation:

Answer 2

The correct answer is:

Negative StartFraction 9 over 4 EndFraction divided by two-thirds

i.e.

`-(9)/(4) / (2)/(3)`

Explanation:

We have to find equivalent expression to :

Negative 2 and one-fourth divided by negative two-thirds

i.e.

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

We have to convert the the mixed fraction form
`-2(1)/(4)` to simpler
`(p)/(q)` fraction form.

Let us learn the concept first.

Mixed fraction is combination of a whole number and a fraction.

Expression of the form
`a(b)/(c)` have the following understanding:

c is the divider

b is the remainder and

a is the quotient.

To convert mixed fraction to fraction we can use the following:

`a(b)/(c) = (a * c+b)/(c)`

`\therefore -2(1)/(4) = -((2 * 4+1))/(4) = -(9)/(4)`

Hence

`-2(1)/(4) / (2)/(3) = -(9)/(4) / (2)/(3)`

i.e. the given expression is equivalent to :

Negative StartFraction 9 over 4 EndFraction divided by two-thirds