Answer:
The correct answer is:
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
i.e.
[tex]-\dfrac{9}{4} \div \dfrac{2}{3}[/tex]
Step-by-step explanation:
We have to find equivalent expression to :
Negative 2 and one-fourth divided by negative two-thirds
i.e.
[tex]-2\dfrac{1}{4} \div \dfrac{2}{3} = ?[/tex]
We have to convert the the mixed fraction form [tex]-2\frac{1}{4}[/tex] to simpler [tex]\frac{p}{q}[/tex] fraction form.
Let us learn the concept first.
Mixed fraction is combination of a whole number and a fraction.
Expression of the form [tex]a\frac{b}{c}[/tex] 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:
[tex]a\dfrac{b}{c} = \dfrac{a \times c+b}{c}[/tex]
[tex]\therefore -2\dfrac{1}{4} = -\dfrac{(2 \times 4+1)}{4} = -\dfrac{9}{4}[/tex]
Hence
[tex]-2\dfrac{1}{4} \div \dfrac{2}{3} = -\dfrac{9}{4} \div \dfrac{2}{3}[/tex]
i.e. the given expression is equivalent to :
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
Answer:
Negative StartFraction 9 over 4 EndFraction divided by (negative two-thirds)
or
-9/4 / -2/3
Step-by-step explanation:
