Answer :
Answer:
Ankur found that the quotient of a positive number and a negative number is negative
Step-by-step explanation:
Given that:
Quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3
Mathematically,
( 15 1/3) ÷ (-4 2/3) = 3
Here,
Dividend = 15 1/3 (positive)
Divisor = - 4 2/3 (negative)
Dividing a positive Dividend by a negative Divisor will always give a negative quotient
Hence,
15 1/3 = 46 / 3
-4 2/3 = - 14 / 3
46/3 ÷ - 14/3
= 46/3 * -3 / 14
Ankur must have either forgotten or neglected the negative sign in the divisor
The correct option which describes Ankur's error is: Ankur found that the quotient of a positive number and a negative number is positive.
Given that,
Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3
We have to find,
Which best describes his error?
According to the question,
The two [tex]15\dfrac{1}{3}[/tex] and [tex]-4\dfrac{2}{3}[/tex] number are mixed fractions.
Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3
Then,
Convert the equation into an improper fraction,
[tex]= \rm \dfrac{15\dfrac{1}{3}}{-4\dfrac{2}{3}} \\\\\ Convert \ into \ improper \ fraction\\\\= \dfrac{\dfrac{15\times3+1}{3}}{\dfrac{-4\times 3+2}{3}} \\\\[/tex]
Now simplify the equation,
[tex]= \dfrac{\dfrac{46}{3}}{\dfrac{-10}{3}} \\\\\\ = \dfrac{\dfrac{46}{3} } {\dfrac{3}{-10}} \\\\\\ = \dfrac{-3}{14}[/tex]
The mistake he has committed, while dividing two fractions, he must have forgotten that one of the fractions which is in the denominator bears a negative sign before it.
Ankur forgot to put the negative sign before 3.
Hence, The correct option which describes Ankur's error is: Ankur found that the quotient of a positive number and a negative number is positive.
For more details refer to the link given below.
https://brainly.com/question/3676484