Question

What is the quotient ? a-3/7 divided by 3-a/21

Answer 1

Final result :  -3



Step by step solution :Step  1  :            3 - a Simplify   —————             21  Equation at the end of step  1  :  (a - 3)   (3 - a)  ——————— ÷ ———————     7        21   Step  2  :            a - 3 Simplify   —————              7  Equation at the end of step  2  :  (a - 3)   (3 - a)  ——————— ÷ ———————     7        21   Step  3  :         a-3      3-a Divide  ———  by  ———          7       21 
 3.1    Dividing fractions 
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
a - 3     3 - a       a - 3        21  —————  ÷  —————   =   —————  •  ———————  7        21           7       (3 - a)
 3.2    Rewrite   (3-a)    as  (-1) •  (a-3) Canceling Out : 3.3    Cancel out  (a-3)  which now appears on both sides of the fraction line.
Final result :  -3

Answer 2

Answer:

Hence, the quotient that is obtained after division is:

-3

Step-by-step explanation:

We are asked to find the quotient when:

$\dfrac{a-3}{7}$ is divided by $\dfrac{3-a}{21}$

i.e. we have dividend as $\dfrac{a-3}{7}$ and divisor as:$\dfrac{3-a}{21}$; 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:

$\dfrac{\dfrac{a-3}{7}}{\dfrac{3-a}{21}}\\\\\\=\dfrac{-(3-a)\times 21}{7\times (3-a)}\\\\=-3$

Hence, the quotient that is obtained after division is:

-3