Respuesta :
Answer:
Hence, the quotient that is obtained after division is:
-3
Step-by-step explanation:
We are asked to find the quotient when:
[tex]\dfrac{a-3}{7}[/tex] is divided by [tex]\dfrac{3-a}{21}[/tex]
i.e. we have dividend as [tex]\dfrac{a-3}{7}[/tex] and divisor as:[tex]\dfrac{3-a}{21}[/tex]; i.e. we keep the dividend in the numerator and divisor in the denominator to obtain the resultant i.e. quotient.
so, we calculate the quotient as:
[tex]\dfrac{\dfrac{a-3}{7}}{\dfrac{3-a}{21}}\\\\\\=\dfrac{-(3-a)\times 21}{7\times (3-a)}\\\\=-3[/tex]
Hence, the quotient that is obtained after division is:
-3
