Answer:
[tex]\dfrac{3}{2}[/tex]
Step-by-step explanation:
We are given 2 fractions.
1st fraction is Negative StartFraction 3 over 8
i.e.
[tex]-\dfrac{3}{8}[/tex]
2nd fraction is negative one-fourth
i.e.
[tex]-\dfrac{1}{4}[/tex]
We have to find the quotient when 1st fraction is divided by 2nd fraction.
Definition of quotient is given as:
Quotient is the result obtained when one number is divided by other number.
[tex]-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}[/tex]
[tex]\div[/tex] is converted to [tex]\times[/tex] and the 2nd fraction is reversed i.e.
if the fraction is [tex]\frac{p}{q}[/tex] it becomes [tex]\frac{q}{p}[/tex] and the sign [tex]\div[/tex] is changed to [tex]\times[/tex].
Solving above:
[tex]-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}[/tex]
So, the quotient is [tex]\frac{3}{2}[/tex].
