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

Answer:

The correct answer is:

Negative StartFraction 9 over 4 EndFraction divided by two-thirds

i.e.

$-\dfrac{9}{4} \div \dfrac{2}{3}$

Step-by-step explanation:

We have to find equivalent expression to :

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

i.e.

$-2\dfrac{1}{4} \div \dfrac{2}{3} = ?$

We have to convert the the mixed fraction form $-2\frac{1}{4}$ to simpler $\frac{p}{q}$ fraction form.

Let us learn the concept first.

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

Expression of the form $a\frac{b}{c}$ 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:

$a\dfrac{b}{c} = \dfrac{a \times c+b}{c}$

$\therefore -2\dfrac{1}{4} = -\dfrac{(2 \times 4+1)}{4} = -\dfrac{9}{4}$

Hence

$-2\dfrac{1}{4} \div \dfrac{2}{3} = -\dfrac{9}{4} \div \dfrac{2}{3}$

i.e. the given expression is equivalent to :

Negative StartFraction 9 over 4 EndFraction divided by two-thirds

Answer 2

Answer: 1.multiplication 2.  division