Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) to be 3. Which best describes his error? Ankur multiplied the compatible numbers 15 and –3. Ankur found that the quotient of a positive number and a negative number is negative. Ankur found that the quotient of a positive number and a negative number is positive. Ankur added the compatible numbers 15 and –3.

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 and 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,

Now simplify the equation,

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.

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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

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step-by-step explanation: