Find the quotient.
A
8
B
Undefined
C
0
D
-8
21 answers
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.
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
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
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.
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.
Solve and simplify.
−
3
4
×
2
5
=
−
4
3
×
5
2
=
−
3
4
×
2
5
=
−
4
3
×
5
2
=
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.
(-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.
Find the product.
(116)(−57)\left(1\frac{1}{6}\right)\left(-\frac{5}{7}\right)(1
6
1
)(−
7
5
)
(116)(−57)\left(1\frac{1}{6}\right)\left(-\frac{5}{7}\right)(1
6
1
)(−
7
5
)
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.
(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.
do it again
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.
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.
Find the product.
−523⋅(−112)-5\frac{2}{3}\cdot\left(-1\frac{1}{2}\right)−5
3
2
⋅(−1
2
1
)
−523⋅(−112)-5\frac{2}{3}\cdot\left(-1\frac{1}{2}\right)−5
3
2
⋅(−1
2
1
)
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.
(-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.
Find the quotient.
−56÷57-\frac{5}{6}\div\frac{5}{7}−
6
5
÷
7
5
−56÷57-\frac{5}{6}\div\frac{5}{7}−
6
5
÷
7
5
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.
(-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.
solve it again
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.
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.
Find the quotient.
A
-10
B
58\frac{5}{8}
8
5
C
10
D
−58-\frac{5}{8}−
8
5
A
-10
B
58\frac{5}{8}
8
5
C
10
D
−58-\frac{5}{8}−
8
5
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.
(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
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
(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.
(b) Your friend likely made the mistake of multiplying with the reciprocal of the first fraction instead of the second fraction.
8
3
÷
8
1
3
÷
8
1
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.
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.