To divide these mixed numbers, we first need to convert them into improper fractions.
Converting 4 1/3 to an improper fraction:
4 1/3 = (4 * 3 + 1) / 3 = 13/3
Converting -1 1/5 to an improper fraction:
-1 1/5 = (-1 * 5 + 1) / 5 = -6/5
Now, we can divide 13/3 by -6/5:
(13/3) / (-6/5) = (13/3) * (-5/6)
To multiply fractions, we multiply the numerators together and the denominators together:
(13/3) * (-5/6) = (13 * -5) / (3 * 6) = -65/18
Therefore, the quotient of 4 1/3 divided by -1 1/5 is -65/18.
4 1/3 / -1 1/5
Find the quotient above
37 answers
Find the quotient above.
Responses
A 3 11/18
B −4 1/3
C −3 11/18
D 4 1/3
Responses
A 3 11/18
B −4 1/3
C −3 11/18
D 4 1/3
The correct answer is C) −3 11/18
(2.5)(−1.3) =
Responses
A 3.253.25
B 1.21.2
C −1.2−1.2
D −3.25
Responses
A 3.253.25
B 1.21.2
C −1.2−1.2
D −3.25
The correct answer is D) -3.25
Divide and simplify.
−1/6 ÷ 2/9
Responses
A −1/27
B −2/15
C −3/4
D 3/8
−1/6 ÷ 2/9
Responses
A −1/27
B −2/15
C −3/4
D 3/8
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, −1/6 ÷ 2/9 can be rewritten as (-1/6) * (9/2).
Multiplying the numerators together gives us -1 * 9 = -9.
Multiplying the denominators together gives us 6 * 2 = 12.
Hence, the result is -9/12.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
Dividing -9 by 3 gives us -3.
Dividing 12 by 3 gives us 4.
Therefore, the simplified form of −1/6 ÷ 2/9 is -3/4.
The answer is C) -3/4.
So, −1/6 ÷ 2/9 can be rewritten as (-1/6) * (9/2).
Multiplying the numerators together gives us -1 * 9 = -9.
Multiplying the denominators together gives us 6 * 2 = 12.
Hence, the result is -9/12.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
Dividing -9 by 3 gives us -3.
Dividing 12 by 3 gives us 4.
Therefore, the simplified form of −1/6 ÷ 2/9 is -3/4.
The answer is C) -3/4.
−0.539 ÷ (−0.11) =
Responses
A 5.45
B 4.94
C −4.9
D −5.4
Responses
A 5.45
B 4.94
C −4.9
D −5.4
To divide −0.539 by (−0.11), we can rewrite it as −0.539 / (−0.11) = 0.539 / 0.11.
Now, dividing 0.539 by 0.11 can be done by dividing the numerators and denominators:
0.539 / 0.11 = 4.9
Therefore, the quotient is 4.9.
The answer is B) 4.94.
Now, dividing 0.539 by 0.11 can be done by dividing the numerators and denominators:
0.539 / 0.11 = 4.9
Therefore, the quotient is 4.9.
The answer is B) 4.94.
Divide and simplify.
−2/17÷ −1/2
Responses
A −1/17
B 1/17
C 4/17
D 3/34
−2/17÷ −1/2
Responses
A −1/17
B 1/17
C 4/17
D 3/34
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, −2/17 ÷ −1/2 can be rewritten as (-2/17) * (2/-1).
Multiplying the numerators together gives us -2 * 2 = -4.
Multiplying the denominators together gives us 17 * 1 = 17.
Hence, the result is -4/17.
Thus, the simplified form of −2/17 ÷ −1/2 is -4/17.
The answer is A) −1/17.
So, −2/17 ÷ −1/2 can be rewritten as (-2/17) * (2/-1).
Multiplying the numerators together gives us -2 * 2 = -4.
Multiplying the denominators together gives us 17 * 1 = 17.
Hence, the result is -4/17.
Thus, the simplified form of −2/17 ÷ −1/2 is -4/17.
The answer is A) −1/17.
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
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 multiply the fractions for each step of the calculation.
Given:
Total students playing a sport: 2/5
Fraction of students playing football out of those playing a sport: 1/4
So, we multiply 2/5 by 1/4:
(2/5) * (1/4) = 2/20
Simplifying this fraction gives us:
2/20 = 1/10
Therefore, the fraction of students at West High School who play football is 1/10.
The answer is A) 1/10.
Given:
Total students playing a sport: 2/5
Fraction of students playing football out of those playing a sport: 1/4
So, we multiply 2/5 by 1/4:
(2/5) * (1/4) = 2/20
Simplifying this fraction gives us:
2/20 = 1/10
Therefore, the fraction of students at West High School who play football is 1/10.
The answer is A) 1/10.
5.36 × -3.1
Responses
A 16.61616.616
B 13.32313.323
C -13.323-13.323
D -16.616
Responses
A 16.61616.616
B 13.32313.323
C -13.323-13.323
D -16.616
To multiply 5.36 by -3.1, we simply multiply the two numbers:
5.36 × -3.1 = -16.616
Therefore, the product is -16.616.
The answer is D) -16.616.
5.36 × -3.1 = -16.616
Therefore, the product is -16.616.
The answer is D) -16.616.
In Jamie's class, 1/5
of the students are boys. What percent of the students in Jamie’s class are boys?
Responses
A 1.5%
B 5%
C 15%
D 20%
of the students are boys. What percent of the students in Jamie’s class are boys?
Responses
A 1.5%
B 5%
C 15%
D 20%
To find the percentage, we need to convert the fraction to a percentage.
Given:
Fraction of students that are boys: 1/5
To convert this fraction to a percentage, we multiply by 100:
(1/5) * 100 = 20
Therefore, the percentage of students in Jamie's class that are boys is 20%.
The answer is D) 20%.
Given:
Fraction of students that are boys: 1/5
To convert this fraction to a percentage, we multiply by 100:
(1/5) * 100 = 20
Therefore, the percentage of students in Jamie's class that are boys is 20%.
The answer is D) 20%.
Daniel ate 0.55 of a candy bar. Which fraction represents the part of the candy bar that Daniel ate?
Responses
A 10/22
B 11/20
C 2/5
D 3/4
Responses
A 10/22
B 11/20
C 2/5
D 3/4
To represent the part of the candy bar that Daniel ate, we can convert the decimal 0.55 to a fraction.
0.55 can be written as 55/100.
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
55 ÷ 5 = 11
100 ÷ 5 = 20
Therefore, the fraction that represents the part of the candy bar that Daniel ate is 11/20.
The answer is B) 11/20.
0.55 can be written as 55/100.
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
55 ÷ 5 = 11
100 ÷ 5 = 20
Therefore, the fraction that represents the part of the candy bar that Daniel ate is 11/20.
The answer is B) 11/20.
Reynold has 3/10
of the race left to run.
Which value is equivalent to 3/10
?
Responses
A 0.03
B 33%
C 32%
D 0.3
of the race left to run.
Which value is equivalent to 3/10
?
Responses
A 0.03
B 33%
C 32%
D 0.3
To find the equivalent value of 3/10, we can convert it to a decimal or a percentage.
3/10 can be represented as 0.3 in decimal form.
Therefore, the equivalent value of 3/10 is D) 0.3.
3/10 can be represented as 0.3 in decimal form.
Therefore, the equivalent value of 3/10 is D) 0.3.
Landry took a survey of all the sixth-grade students at Irvine Park Middle School and discovered that 35% of sixth-graders play sports.
What fraction of sixth-graders play sports?
Responses
A 7/20
B 35/50
C 3/5
D 7/8
What fraction of sixth-graders play sports?
Responses
A 7/20
B 35/50
C 3/5
D 7/8
To find the fraction of sixth-graders that play sports, we need to convert the percentage to a fraction.
Given:
Percentage of sixth-graders that play sports: 35%
To convert this percentage to a fraction, we divide by 100 and simplify:
35% = 35/100 = 7/20
Therefore, the fraction of sixth-graders that play sports is A) 7/20.
Given:
Percentage of sixth-graders that play sports: 35%
To convert this percentage to a fraction, we divide by 100 and simplify:
35% = 35/100 = 7/20
Therefore, the fraction of sixth-graders that play sports is A) 7/20.
Elizabeth read 19/20
of her book.
What percentage is equivalent to the fraction of the book that Elizabeth read?
Responses
A 80%
B 95%
C 75%
D 90%
of her book.
What percentage is equivalent to the fraction of the book that Elizabeth read?
Responses
A 80%
B 95%
C 75%
D 90%
To find the equivalent percentage of the fraction 19/20, we can multiply it by 100.
(19/20) * 100 = 95%
Therefore, the percentage equivalent to the fraction of the book that Elizabeth read is B) 95%.
(19/20) * 100 = 95%
Therefore, the percentage equivalent to the fraction of the book that Elizabeth read is B) 95%.
Wade walked 0.58 mile to school.
Which value is equivalent to 0.58?
Responses
A 5.8%
B 5/8
C 58/50
D 58%
Which value is equivalent to 0.58?
Responses
A 5.8%
B 5/8
C 58/50
D 58%
To find the equivalent value of 0.58, we can examine the options given.
A) 5.8%: This is not equivalent to 0.58; it represents 5.8 percent.
B) 5/8: This is not equivalent to 0.58; it represents five-eighths or 0.625.
C) 58/50: This is not equivalent to 0.58; it represents 1.16.
D) 58%: This is equivalent to 0.58 expressed as a percentage.
Therefore, the value equivalent to 0.58 is D) 58%.
A) 5.8%: This is not equivalent to 0.58; it represents 5.8 percent.
B) 5/8: This is not equivalent to 0.58; it represents five-eighths or 0.625.
C) 58/50: This is not equivalent to 0.58; it represents 1.16.
D) 58%: This is equivalent to 0.58 expressed as a percentage.
Therefore, the value equivalent to 0.58 is D) 58%.
Which set of numbers are equivalent?
Responses
A 33/10, 0.33, 33%
B 1/47, 0.47, 47%
C 1/4, 0.25, 25%
D 1/200, 0.20, 20%
Responses
A 33/10, 0.33, 33%
B 1/47, 0.47, 47%
C 1/4, 0.25, 25%
D 1/200, 0.20, 20%
To find the set of numbers that are equivalent, we can examine each option:
A) 33/10, 0.33, 33%: This set does not contain numbers that are equivalent to each other. 33/10 is not equal to 0.33 or 33%.
B) 1/47, 0.47, 47%: This set does not contain numbers that are equivalent to each other. 1/47 is not equal to 0.47 or 47%.
C) 1/4, 0.25, 25%: This set contains numbers that are equivalent to each other. 1/4 is equal to 0.25 as a decimal and 25% as a percentage.
D) 1/200, 0.20, 20%: This set contains numbers that are equivalent to each other. 1/200 is equal to 0.20 as a decimal and 20% as a percentage.
Therefore, the set of numbers that are equivalent is C) 1/4, 0.25, 25%.
A) 33/10, 0.33, 33%: This set does not contain numbers that are equivalent to each other. 33/10 is not equal to 0.33 or 33%.
B) 1/47, 0.47, 47%: This set does not contain numbers that are equivalent to each other. 1/47 is not equal to 0.47 or 47%.
C) 1/4, 0.25, 25%: This set contains numbers that are equivalent to each other. 1/4 is equal to 0.25 as a decimal and 25% as a percentage.
D) 1/200, 0.20, 20%: This set contains numbers that are equivalent to each other. 1/200 is equal to 0.20 as a decimal and 20% as a percentage.
Therefore, the set of numbers that are equivalent is C) 1/4, 0.25, 25%.
Which set of numbers are equivalent?
Responses
A 0.4, 4%, 4/10
B 0.062, 62%, 62/1000
C 0.80, 80%, 4/5
D 0.84, 84%, 10/84
Responses
A 0.4, 4%, 4/10
B 0.062, 62%, 62/1000
C 0.80, 80%, 4/5
D 0.84, 84%, 10/84
To determine which set of numbers are equivalent, we can examine each option:
A) 0.4, 4%, 4/10: This set does not contain numbers that are equivalent to each other. 0.4 is not equal to 4% or 4/10.
B) 0.062, 62%, 62/1000: This set does not contain numbers that are equivalent to each other. 0.062 is not equal to 62% or 62/1000.
C) 0.80, 80%, 4/5: This set contains numbers that are equivalent to each other. 0.80 is equal to 80% and 4/5.
D) 0.84, 84%, 10/84: This set does not contain numbers that are equivalent to each other. 0.84 is not equal to 84% or 10/84.
Therefore, the set of numbers that are equivalent is C) 0.80, 80%, 4/5.
A) 0.4, 4%, 4/10: This set does not contain numbers that are equivalent to each other. 0.4 is not equal to 4% or 4/10.
B) 0.062, 62%, 62/1000: This set does not contain numbers that are equivalent to each other. 0.062 is not equal to 62% or 62/1000.
C) 0.80, 80%, 4/5: This set contains numbers that are equivalent to each other. 0.80 is equal to 80% and 4/5.
D) 0.84, 84%, 10/84: This set does not contain numbers that are equivalent to each other. 0.84 is not equal to 84% or 10/84.
Therefore, the set of numbers that are equivalent is C) 0.80, 80%, 4/5.
The Frisco Falcons Soccer Team won 3/5
of their soccer games.
What percentage is equivalent to the fraction of games the Falcons won?
Responses
A 35%
B 60%
C 45%
D 50%
of their soccer games.
What percentage is equivalent to the fraction of games the Falcons won?
Responses
A 35%
B 60%
C 45%
D 50%
To find the equivalent percentage of the fraction 3/5, we can multiply it by 100.
(3/5) * 100 = 60%
Therefore, the percentage equivalent to the fraction of games the Falcons won is B) 60%.
(3/5) * 100 = 60%
Therefore, the percentage equivalent to the fraction of games the Falcons won is B) 60%.
Which set of numbers are equivalent?
Responses
A 3%, 0.3, 3/100
B 20%, 0.2, 2/10
C 40%, 0.4, 4/100
D 50%, 0.05, 5/10
Responses
A 3%, 0.3, 3/100
B 20%, 0.2, 2/10
C 40%, 0.4, 4/100
D 50%, 0.05, 5/10
To determine which set of numbers are equivalent, we can examine each option:
A) 3%, 0.3, 3/100: This set does contain numbers that are equivalent to each other. 3% is equal to 0.3 as a decimal and 3/100 as a fraction.
B) 20%, 0.2, 2/10: This set does contain numbers that are equivalent to each other. 20% is equal to 0.2 as a decimal and 2/10 as a fraction.
C) 40%, 0.4, 4/100: This set does contain numbers that are equivalent to each other. 40% is equal to 0.4 as a decimal and 4/100 as a fraction.
D) 50%, 0.05, 5/10: This set does contain numbers that are equivalent to each other. 50% is equal to 0.05 as a decimal and 5/10 as a fraction.
Therefore, all the options are correct. This means that multiple sets of numbers are equivalent:
A) 3%, 0.3, 3/100
B) 20%, 0.2, 2/10
C) 40%, 0.4, 4/100
D) 50%, 0.05, 5/10
A) 3%, 0.3, 3/100: This set does contain numbers that are equivalent to each other. 3% is equal to 0.3 as a decimal and 3/100 as a fraction.
B) 20%, 0.2, 2/10: This set does contain numbers that are equivalent to each other. 20% is equal to 0.2 as a decimal and 2/10 as a fraction.
C) 40%, 0.4, 4/100: This set does contain numbers that are equivalent to each other. 40% is equal to 0.4 as a decimal and 4/100 as a fraction.
D) 50%, 0.05, 5/10: This set does contain numbers that are equivalent to each other. 50% is equal to 0.05 as a decimal and 5/10 as a fraction.
Therefore, all the options are correct. This means that multiple sets of numbers are equivalent:
A) 3%, 0.3, 3/100
B) 20%, 0.2, 2/10
C) 40%, 0.4, 4/100
D) 50%, 0.05, 5/10
Use the distributive property to expand the linear expression.
3(4x + 3)
Responses
A 3/4
B 12x + 6
C 12x + 9
D -3/4
3(4x + 3)
Responses
A 3/4
B 12x + 6
C 12x + 9
D -3/4
To expand the linear expression using the distributive property, we multiply 3 by each term inside the parentheses:
3(4x + 3) = 3 * 4x + 3 * 3
This simplifies to:
12x + 9
Therefore, the expanded linear expression is C) 12x + 9.
3(4x + 3) = 3 * 4x + 3 * 3
This simplifies to:
12x + 9
Therefore, the expanded linear expression is C) 12x + 9.