Divide Rational Numbers Practice

Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
Divide −9
by 27
. Write the answer as a simplified fraction with the correct sign.

To divide -9 by 27, we divide the absolute values of the numbers and determine the sign of the result.

|-9| / |27| = 9/27

Next, we simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 9.

9/27 = 1/3

Since -9 is negative, the final answer is -1/3.

Divide 11 by −4

. Write the answer as a mixed number with the correct sign.

To divide 11 by -4, we divide the absolute values of the numbers and determine the sign of the result.

|11| / |-4| = 11/4

Next, we simplify the fraction.

11/4 = 2 3/4

Since 11 is positive and -4 is negative, the final answer is -2 3/4.

Question

What is the quotient of −91÷(−13)÷7

To find the quotient of -91 ÷ (-13) ÷ 7, we first perform the division between -91 and -13, and then divide the result by 7.

-91 ÷ (-13) = 7

Now, we divide the result by 7.

7 ÷ 7 = 1

Therefore, the quotient of -91 ÷ (-13) ÷ 7 is 1.

What is the quotient of 72÷(4)÷(−6)

To find the quotient of 72 ÷ 4 ÷ (-6), we perform the division in the given order.

First, we divide 72 by 4:

72 ÷ 4 = 18

Next, we divide 18 by (-6):

18 ÷ (-6) = -3

Therefore, the quotient of 72 ÷ 4 ÷ (-6) is -3.

how

Apologies for the confusion in my previous response. I made an error. Let's correctly calculate the quotient of 72 ÷ 4 ÷ (-6).

To solve this, we follow the order of operations, which is parentheses, then division, from left to right.

First, we divide 72 by 4:

72 ÷ 4 = 18

Next, we divide 18 by (-6):

18 ÷ (-6) = -3

Therefore, the correct quotient of 72 ÷ 4 ÷ (-6) is -3.

Without calculating, which of the following quotients can you determine will be positive?(1 point)

Responses

657 ÷ (−23)
657 divided by Left Parenthesis negative 23 Right Parenthesis

−725 ÷ (−29)
negative 725 divided by Left Parenthesis negative 29 Right Parenthesis

−111 ÷ 37
negative 111 divided by 37

1,001 ÷ (−143