Question

Find the quotient.






A
8

B
Undefined

C
0

D
-8

Answer 1

Select ALL fractions that are equivalent to

A
−−49-\frac{-4}{9}−
9
−4
​

B
49\frac{4}{9}
9
4
​

C
−(49)-(\frac{4}{9})−(
9
4
​
)
D
−4−9-\frac{4}{-9}−
−9
4
​

E
−4−9\frac{-4}{-9}
−9
−4
​

F
4−9\frac{4}{-9}
−9
4
​

Answer 2

Solve and simplify.



−
3
4

×

2
5

=
−
4
3
​
×
5
2
​
=

Answer 3

Find the product.



(116)(−57)\left(1\frac{1}{6}\right)\left(-\frac{5}{7}\right)(1
6
1
​
)(−
7
5
​
)

Answer 4

do it again

Answer 5

Find the product.



−523⋅(−112)-5\frac{2}{3}\cdot\left(-1\frac{1}{2}\right)−5
3
2
​
⋅(−1
2
1
​
)

Answer 6

Find the quotient.



−56÷57-\frac{5}{6}\div\frac{5}{7}−
6
5
​
÷
7
5
​

Answer 7

solve it again

Answer 8

Find the quotient.

A
-10

B
58\frac{5}{8}
8
5
​


C
10

D
−58-\frac{5}{8}−
8
5
​

Answer 9

(a)
Error Analysis:

Your friend says that the quotient
3
8
÷
1
8
=
1
3
8
3
​
÷
8
1
​
=
3
1
​
. What is the correct quotient?





3
8
÷
1
8
=
8
3
​
÷
8
1
​
=


(b)
What mistake did your friend likely make?

A
Your friend added the fractions instead of dividing.

B
Your friend multiplied with the reciprocal of the first fraction, not the second fraction.

C
Your friend multiplied 83×8\frac{8}{3}\times 8
3
8
​
×8

D
Your friend multiplied 38×18\frac{3}{8}\times \frac{1}{8}
8
3
​
×
8
1
​

Answer 10

8
3
​
÷
8
1

Answer 11

There is no specific equation or division problem given to find the quotient. Therefore, without further information, the quotient cannot be determined. The correct answer is B) Undefined.

Answer 12

To determine which fractions are equivalent to -49/9, we need to simplify each fraction and check if the simplified form is equal to -49/9.

A) -4/9: This fraction is not equivalent to -49/9 because its simplified form is -4/9, not -49/9.

B) 4 4/9: This fraction is not equivalent to -49/9 because its simplified form is 49/9, not -49/9.

C) -(49/4): This fraction is not equivalent to -49/9 because its simplified form is -49/4, not -49/9.

D) -4/-9: This fraction is equivalent to -49/9 because when we simplify it, we get 4/9, which is equal to -49/9 after changing the sign.

E) -4/-9: This fraction is equivalent to -49/9 because when we simplify it, we get 4/9, which is equal to -49/9 after changing the sign.

F) 4/-9: This fraction is not equivalent to -49/9 because its simplified form is -4/9, not -49/9.

The fractions that are equivalent to -49/9 are D) -4/-9 and E) -4/-9.

Answer 13

To solve the expression (-3/4) * (2/5), we will multiply the numerators and denominators together:

(-3 * 2) / (4 * 5) = -6/20

To simplify the fraction -6/20, we can divide the numerator and denominator by their greatest common divisor, which is 2:

(-6/2) / (20/2) = -3/10

Therefore, (-3/4) * (2/5) simplifies to -3/10.

Answer 14

To find the product of these numbers, we will multiply them together:

(116) * (-57) * (1 + 1/6) * (-5/7) * (1 - 7/5)

First, we can combine the whole numbers and fractions:

(116) * (-57) * (7/6) * (-5/7) * (-2/5)

Next, we can cancel out common factors between the numerators and denominators:

(116) * (-1) * (1/6) * (-1) * (-2)

Simplifying further gives:

(-116) * (1/6) * (-2)

Multiplying the remaining factors:

(-116) * (-2) * (1/6) = 464/6

Lastly, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2:

464/6 = 232/3

Therefore, the product of (116)(−57)(1+1/6)(-5/7)(1-7/5) is 232/3.

Answer 15

Apologies for the previous error. Let's solve it again.

To find the product of these numbers, we will multiply them together:

(116)(−57)(1 + 1/6)(-5/7)(1 - 7/5)

First, we can simplify the mixed number:

1 + 1/6 = 6/6 + 1/6 = 7/6

Next, we can simplify the fractions:

1 - 7/5 = 5/5 - 7/5 = -2/5

Now, we can multiply the numbers:

(116)(−57)(7/6)(-5/7)(-2/5)

Multiplying the whole numbers:

116 * (-57) = (-6624)

Multiplying the fractions:

(7/6) * (-5/7) * (-2/5) = (-1)

Therefore, the product of (116)(−57)(1 + 1/6)(-5/7)(1 - 7/5) is -1.

Answer 16

To find the product of these numbers, we will multiply them together:

(-523) * (-112) * (-5 + 2/3) * (-1 + 1/2) * (-5/3) * (-1/2)

First, let's simplify the mixed numbers:

(-5 + 2/3) = (-15/3 + 2/3) = (-13/3)

(-1 + 1/2) = (-2/2 + 1/2) = (-1/2)

Now, we can multiply the numbers:

(-523) * (-112) * (-13/3) * (-1/2) * (-5/3) * (-1/2)

Multiplying the whole numbers:

(-523) * (-112) = 58576

Multiplying the fractions:

(-13/3) * (-1/2) * (-5/3) * (-1/2) = 325/12

Therefore, the product of (-523)(-112)(-5 + 2/3)(-1 + 1/2)(-5/3)(-1/2) is 58576 * 325/12, which is a fraction.

Answer 17

To find the quotient, we will perform the division:

(-56) ÷ (57) ÷ (5/6) ÷ (5/7)

When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction:

(-56) * (7/5) * (6/5) * (7/5)

Simplifying the fractions:

(-56) * (7/5) * (6/5) * (7/5) = (-56) * (6/5) * (7/5) * (7/5)

Multiplying the numerators and denominators together:

(-56 * 6 * 7 * 7) / (5 * 5 * 5 * 5)

Simplifying further:

(-2352) / (625)

Therefore, the quotient of (-56) ÷ (57) ÷ (5/6) ÷ (5/7) is -2352/625.

Answer 18

Apologies for the previous error. Let's solve it again.

To find the quotient, we will perform the division:

(-56) ÷ (57) ÷ (5/6) ÷ (5/7)

When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction:

(-56) * (6/5) * (7/5) * (7/5)

Simplifying the fractions:

(-56) * (6/5) * (7/5) * (7/5) = (-56) * (6/5) * (49/25)

Multiplying the numerators and denominators together:

(-56 * 6 * 49) / (5 * 5 * 25)

Simplifying further:

(-16464) / (625)

Therefore, the quotient of (-56) ÷ (57) ÷ (5/6) ÷ (5/7) is -16464/625.

Answer 19

To find the quotient, we need the dividend and divisor. Without that information, we cannot determine the quotient. Therefore, the quotient cannot be determined from the given options.

Answer 20

(a) The correct quotient for 3/8 ÷ 1/8 is 3.

(b) Your friend likely made the mistake of multiplying with the reciprocal of the first fraction instead of the second fraction.

Answer 21

To divide 8/3 by 8/1, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 8/1 is 1/8.

So, the division can be rewritten as:

8/3 * 1/8

When we multiply the numerators and denominators together, we get:

(8 * 1) / (3 * 8) = 8/24

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

(8/8) / (24/8) = 1/3

Therefore, 8/3 ÷ 8/1 simplifies to 1/3.