-4.32 × -1.25
Responses
A -5.4-5.4
B -6.125-6.125
C 5.45.4
D 6.125
The correct answer is D. 6.125.
Divide and simplify.
−2/17÷−1/2
Responses
A −1/17
B 1/17
C 4/17
D 3/34
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of -1/2 = -2/1
(-2/17) ÷ (-1/2) = (-2/17) * (-2/1)
Multiplying the numerators '-2' and '-2' gives us 4, and multiplying the denominators '17' and '1' gives us 17. Therefore, the simplified answer is:
4/17
So the correct response is C. 4/17.
−2/17÷−1/2
Responses
A −1/17
B 1/17
C 4/17
D 3/34
The correct response is C. 4/17.
At West High School, 2/5 of the students play a sport. Of the students who play a sport, 1/4 play football. What fraction of the students at West High School play football?
Responses
A 1/10
B 1/3
C 1/5
D 2/3
E 2/9
To find the fraction of students at West High School who play football, we need to multiply the fractions representing the students who play a sport (2/5) and the students who play football given that they play a sport (1/4).
(2/5) * (1/4) = 2/20 = 1/10
So, the fraction of students at West High School who play football is 1/10.
Therefore, the correct response is A. 1/10.
−1/6 ÷ 2/9
Responses
A −1/27
B −2/15
C −3/4
D 3/8
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
(-1/6) ÷ (2/9) = (-1/6) * (9/2)
Multiplying the numerators '-1' and '9' gives us -9, and multiplying the denominators '6' and '2' gives us 12. Therefore, the simplified answer is:
-9/12 = -3/4
So the correct response is C. -3/4.
5.36 × -3.1
Responses
A 16.61616.616
B 13.32313.323
C -13.323-13.323
D -16.616
The correct answer is D. -16.616.
(2.5)(−1.3) =
Responses
A 3.253.25
B 1.21.2
C −1.2−1.2
D −3.25
The correct answer is D. -3.25.
−70.55 ÷ (0.5) =
Responses
A −141.1−141.1
B −35.28−35.28
C 35.2835.28
D 141.1
The correct answer is C. 35.28.
−0.539 ÷ (−0.11) =
Responses
A 5.45.4
B 4.94.9
C −4.9−4.9
D −5.4
The correct answer is A. 5.4.
Divide:
11.1÷3
Responses
A 0.0370.037
B 0.370.37
C 3.73.7
D 3737
E 370
To divide 11.1 by 3, we can simply perform the division and express the result as a decimal.
11.1 ÷ 3 = 3.7
So, the correct response is C. 3.7.
4 1/3÷−1 1/5
Find the quotient above.
To find the quotient of the expression 4 1/3 ÷ -1 1/5, we need to convert the mixed numbers to improper fractions and then perform the division.
4 1/3 = (4 * 3 + 1) / 3 = 13/3
-1 1/5 = (-1 * 5 + 1) / 5 = -6/5
Now, we can divide the fractions:
(13/3) ÷ (-6/5) = (13/3) * (-5/6)
We can simplify the fractions before multiplying:
13/3 = (13 * 1) / (3 * 1) = 13/3
-5/6 = (-5 * 1) / (6 * 1) = -5/6
Now we can multiply the fractions:
(13/3) * (-5/6) = (13 * -5) / (3 * 6) = -65/18
Therefore, the quotient is -65/18.
-65/18 simpilfyed
To simplify the fraction -65/18, we need to find the greatest common divisor (GCD) of the numerator (-65) and the denominator (18) and divide them by the GCD.
The GCD of 65 and 18 is 1.
So, dividing both the numerator and denominator by 1, the simplified fraction is:
-65/18
Therefore, the simplified fraction is -65/18.
4 1/3÷−1 1/5
Find the quotient above.
Responses
A 3 11/18
B −4 1/3
C −3 11/18
D 4 1/3
To find the quotient of the expression 4 1/3 ÷ -1 1/5, we need to convert the mixed numbers to improper fractions and then perform the division.
4 1/3 = (4 * 3 + 1) / 3 = 13/3
-1 1/5 = (-1 * 5 + 1) / 5 = -6/5
Now, we can divide the fractions:
(13/3) ÷ (-6/5) = (13/3) * (-5/6)
We can simplify the fractions before multiplying:
13/3 = (13 * 1) / (3 * 1) = 13/3
-5/6 = (-5 * 1) / (6 * 1) = -5/6
Now we can multiply the fractions:
(13/3) * (-5/6) = (13 * -5) / (3 * 6) = -65/18
Therefore, the quotient is -65/18.
The simplified mixed number representation of -65/18 is -3 11/18.
So, the correct response is C. -3 11/18.