Adding and Subtracting Fractions. Solve each problem.Write your answer as a mixed number if possible.
1. 4 2/7 - 2 1/5
2.5 7/8 + 11/4
3.5/8 - 7/3
4.16/5 + 2 1/2
Answers
The answers to the four mixed number problems are 2 3/35, 16 7/8, -1 17/24, and 5 7/10, respectively.
Explanation:These problems involve adding and subtracting fractions and writing the answer as a mixed number, if possible. Let's go through each one step-by-step.
1. 4 2/7 - 2 1/5: First, convert these mixed numbers into improper fractions (4 2/7 = 30/7 and 2 1/5 = 11/5). The common denominator is 35. Rewrite the fractions as 150/35 and 77/35, subtract to get 73/35 which simplifies to '2 3/35'.
2. 5 7/8 + 11/4: Convert these mixed numbers into improper fractions (5 7/8 = 47/8 and 11/4 = 44/4). The common denominator is 8. Rewrite the fractions as 47/8 and 88/8, add to get 135/8 which simplifies to '16 7/8'.
3. 5/8 - 7/3: The common denominator is 24. Rewrite the fractions as 15/24 and 56/24. Subtract to get -41/24 which simplifies to '-1 17/24'.
4. 16/5 + 2 1/2: Convert the mixed number into an improper fraction (2 1/2 = 5/2). The common denominator is 10. Rewrite the fractions as 32/10 and 25/10. Add to get 57/10 which simplifies to '5 7/10'.
Learn more about Adding and Subtracting Fractions here:https://brainly.com/question/1305637
#SPJ2
Related Questions
if 8 unites represent 136 miles, find the value of 11 units
Answers
Toni wants to buy a shirt . The original price is $85 but it is on sale for 30% off Toni will pay15% sales tax how much will the shirt cost
Answers
15%÷100% = 0.15; $59.5 ×0.15 =8.92; 59.50 - 8.92= $50.58
$50.58
What is the value of x? 10x−15=−5x−20
a -1
b -1/3
c 1/3
d 1
Answers
15x-15=-20 add 15 to both sides
15x= -5 divide by 15 on both sides
x= -1/3
Brainliest is always appreciated
kishauna rode her bike for 35 minutes each on Monday Wednesday and Saturday and 55 minutes each on Tuesday and Thursday. write an expression that shows the total amount of the time she spent riding her bike. than evaluate the expression
Answers
And since she rode her bike 55 minutes on 2 other days you are going to multiply 55 times 2 and get 110.
Now you add 105 + 110 and your answer is 215.
The expression and the evaluation are that represents the total amount of time should be
[tex]= 35\times 3 + 55\times 2\\\\= 105 + 110[/tex]
and 215 minutes.
Given that,
The bike should run for 35 minutes each on Monday Wednesday and Saturday.And, the 55 minutes each on Tuesday and Thursday.Based on the above information, the calculation is as follows:
[tex]= 35\times 3 + 55\times 2\\\\= 105 + 110[/tex]
= 215 minutes
Therefore we can conclude that the expression that represents the total amount of time should be 215 minutes.
Learn more: brainly.com/question/22271063
A lamp shade has a radius of 9 inches. What is the circumference of the top of the shade? Use 3.14 to approximate pi. Round your answer to the nearest whole number.
Answers
Answer:
The circumference of the lamp shade is 57 inches.
Step-by-step explanation:
Given : A lamp shade has a radius of 9 inches.
To find : The circumference of the top of the shade
Solution : A lamp shade is in a sphere form,
So, formula to find the circumference of sphere is
[tex]C=2\pi r[/tex]
Now, the radius of lamp is 9 inches and [tex]\pi=3.14[/tex]
Substitute the value in the formula we get,
[tex]C=2\pi r[/tex]
[tex]C=2\times 3.14 \times 9[/tex]
[tex]C=56.52[/tex]
Round to nearest whole number circumference is 57 .
Therefore,The circumference of the lamp shade is 57 inches.
r
Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. She used the simple interest formula to find the interest.
I = 600(7)(2)
What error did Juanita make and how will her error affect the interest she calculates? Explain
Answers
Carlos has 4 1/2 gallons of paint. To paint a room that is 10 ft by 10 ft, he uses 34 gallon of paint. How many 10 ft by 10 ft rooms can Carlos paint? A. 4 1/3 rooms B. 4 2/3 rooms C. 6 rooms D. 9 rooms
Answers
Carlos can paint 6 rooms with the available 4 1/2 gallons of paint.
To paint one 10 ft by 10 ft room, Carlos uses 3/4 gallons of paint. To find how many rooms Carlos can paint with the available 4 1/2 gallons of paint, we divide the total paint available by the paint used per room.
Number of rooms = Total paint available / Paint used per room
Number of rooms = 4 1/2 / 3/4
Number of rooms = 9/2 / 3/4
To divide fractions, multiply by the reciprocal of the divisor
Number of rooms = 9/2 * 4/3
Number of rooms = 36/6
Number of rooms = 6
Carlos can paint 6 rooms with the available 4 1/2 gallons of paint. Therefore, the correct answer is C. 6 rooms.
n + 9 < −6 plz help me
Answers
n<-15
n<-15 Is your answer.
N + (9 - 9) < -6 - 9
N < -15
if x - 3y = -9 and 5x - 2y = 7, what is the value of x?
Answers
what are the factors of 30 24 and 30
Answers
30:1,2,3,5,6,10,15,30
24:1,2,3,4,6,8,12,24
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
To find the factors of a number, we identify all the whole numbers that can be divided evenly into the original number.
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Thus the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
what is 7.7 tons roundef to the nearest ton
Answers
a rectangle with a length of x+5 has a perimeter of 4x+14. 1. write the expression for the width of yhe rectangle in terms of x. 2. suppose the perimeter of the rectangle is 42 inches. what are the length and width of the rectangle?
Answers
2 (width+x+5)=4x+14
width+x+5=2x+7
width=x+2
You purchase a car using a $20,000 loan with a 5% simple interest rate.
(a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your
work and don’t forget the unit!
(b) Suppose you pay the loan off after 3 years. How much interest do you save by paying the loan off
sooner? Show your work and don’t forget the unit.
Answer: a) b)
Answers
The total interest paid on a $20,000 loan at 5% simple interest over 4 years is $4,000.
To solve part (a) of the question, we calculate the amount of interest paid on a $20,000 loan over 4 years with a 5% simple interest rate:
Calculate the annual interest: $20,000 * 5% = $1,000.
Multiply the annual interest by the number of years: $1,000 * 4 years = $4,000.
The total interest paid after 4 years is $4,000.
For part (b), to find the interest saved by paying off the loan after 3 years instead of 4 years, we do the following:
Calculate the interest for 3 years: $1,000 imes 3 years = $3,000.
Deduct the 3-year interest from the 4-year interest: $4,000 - $3,000 = $1,000.
The interest saved by paying the loan off after 3 years is $1,000.
what fraction is equivalent to 2/5 and has a denominator of 15
Answers
To find an equivalent fraction to 2/5 with a denominator of 15, multiply both the numerator (2) and the denominator (5) by 3, resulting in the fraction 6/15.
Explanation:To find a fraction equivalent to 2/5 that has a denominator of 15, we need to scale up the original fraction so that the denominator becomes 15. This is done by finding a number that you can multiply the denominator by to get 15. Since 5 × 3 = 15, we multiply both the numerator and denominator of 2/5 by 3 to maintain the same value.
Here's the calculation:
Multiply the numerator by 3: 2 × 3 = 6Multiply the denominator by 3: 5 × 3 = 15
Therefore, the fraction that is equivalent to 2/5 with a denominator of 15 is 6/15.
how old is the expanded notation method work
Answers
For example
2.34 * 10^6 will be....
2,340,000
It is because if you have the positive powers, you move your decimal to the right. In this case the power is 6 so you move your decimal to the right 6 times.
Here's another example
1.23 X 10^-2
The answer will be 0.0123 because you move your decimal two the left two times. The power is negative 2 so you move it to the left.
Final tips: If you have positive power, move it to the right and if you have negative power, move it to the left.
a grocery store ordes 47 bags of onions and 162 bags of potatoes. the onions cost $2 per bag, and the potatoes cost $3 per bag. how much is spent on onions and potatoes?
Answers
bags of potatoes = 162 = cost $3 per bag
47 * 2 = $94
162 * 3 = $486
$94 + $486 = $580
Answer is $580
Round off 0.482 to one significant figure
Answers
To round 0.482 to one significant figure, consider the first non-zero digit '4' and round up to '5' because the next digit is '8', giving you 0.5.
To round off the number 0.482 to one significant figure, you look at the first non-zero digit, which is '4' in this case. Since the digit to the right of '4' is '8', which is greater than 5, you round up the '4' to '5'. Therefore, 0.482 rounded to one significant figure is 0.5.
Using examples from provided references:
(a) 0.424 rounds to 0.42 (to two significant figures)(b) 0.0038661 rounds to 0.00387 (to three significant figures)(c) 421.25 rounds to 421.3 (to four significant figures)(d) 28,683.5 rounds to 28,684 (to five significant figures)each week,steven gets an allowance of $8 plus $3 for each chore he does. his younger sister jill gets an allowance of $6 plus $2 per chore. write an expression for how much their parents give steven and jill each week if they do the same number of chores.
Answers
Final answer:
The expression representing the total weekly allowance Steven and Jill receive for doing the same number of chores is 14 + 5c, where c represents the number of chores done.
Explanation:
The question asks for an expression to represent the total allowance that Steven and Jill receive each week if they do the same number of chores. Steven gets a fixed allowance of $8 plus an additional $3 for each chore he completes, while Jill gets a fixed allowance of $6 plus $2 for each chore she completes.
Let's represent the number of chores they each do with the variable c. The expression for Steven's weekly allowance would be 8 + 3c, and the expression for Jill's weekly allowance would be 6 + 2c. To find the total combined allowance, we simply add the two expressions:
8 + 3c + 6 + 2c
Simplifying this expression, we combine like terms:
14 + 5c
This expression represents the total weekly allowance that their parents give to Steven and Jill together, if they do the same number of chores.
Evaluate for x = 2.
(12x + 8)
4
A) 4
B) 5
C) 6
D) 8
Answers
(12(2) + 8)/4 ... figure out the top first. 12*2 = 24, 24 + 8 = 32.
32/4 = 8, so your correct choice is D.
To evaluate the expression (12x + 8) / 4 for x = 2, you multiply 12 by 2, add 8, and then divide by 4. The final answer is 8, which corresponds to option D.
Explanation:To evaluate the expression (12x + 8) / 4 for x = 2, you substitute the value of x into the expression and then simplify. First, multiply 12 by 2 to get 24, then add 8 to get 32. After that, divide 32 by 4 to get the final answer.
Here is the step-by-step calculation:
Substitute x with 2: (12*2 + 8) / 4.Multiply 12 by 2: (24 + 8) / 4.Add 24 and 8: 32 / 4.Divide 32 by 4: 8.The correct answer is D) 8.
Learn more about Evaluating Expressions here:https://brainly.com/question/21469837
#SPJ2
Tiffany catches a fish that weighs 12.3 pounds. Frank catches a fish that weighs 2.5 times as much as Tiffanys fish. How many pounds does franks fish weigh?
Answers
the pizzeria buys 250 pounds of mozzarella cheese if they use 20 5/6 pounds of cheese every day how long will the cheese last
Answers
To determine how long the pizzeria's cheese supply will last, we divide 250 pounds by the daily usage of 20 5/6 pounds, which equals approximately 12 days.
Explanation:To calculate how long the pizzeria's 250 pounds of mozzarella cheese will last, given that they use 20 5/6 pounds of cheese every day, we have to divide the total amount of cheese by the daily usage. The fraction 5/6 needs to be converted to a decimal for ease of calculation. So 5/6 is approximately 0.833. Therefore, the daily usage is 20 + 0.833, which is 20.833 pounds.
Next, we divide the total amount of cheese by the daily usage to find how many days the cheese will last:
250 ÷ 20.833 ≈ 12 days
Therefore, the mozzarella cheese will last for approximately 12 days.
Jeremy cleans his house in 2 1/2 hours.hunter cleans his house in 3 1/4 hours.how much longer does it take for Jeremy to clean his house?
Answers
This is all based on subtraction. You would take the fraction that is more than the other, and use it to subtract the less. You would always want the denominator to be the same, so lets switch it to 2 2/4. Now, you would do 1/4 minus 2/4, which gets you -1/4. You can use the whole hours and fill it in. Since the whole hours is 4/4, you would take 4/4+(-1/4). Simplify and you will get 4/4-1/4. And you would have 3/4.
Now, since the question is asking for how long it take for JEREMY for clean his house, you would say, "it takes -3/4 hours longer for Jeremy to clean his house, since Hunter really takes longer." (Everything in the quote is part of the answer)
Sorry if it is a little confusing.
On an airplane, there are two seats on the left side in each row and three seats on the right side. There are 150 seats altogether. How many seats are on the left side of the plane and how many are on the right?
Answers
to make that a bit more visual for you, here:
(each 30 is a row and the underscore is the isle)
30 30 30___30 30
30 x 3 = 90
30 x 2 = 60
There are 90 seats on the left and 60 on the right.
30 30 A 30 30 30
60 A 90
What is the final price of a 240 bike with a 3.5% tax
Answers
You take the original price and mulitiply it by .035 and you get your answer.
C - cost
P- Price
T- tax
P = C + C*T
P = 240 + (240)(0.035)
"=248.4"
Boxes of sticky finger s popsicles are 4.50. The supermarket is offering a 30%off coupon. What is the price with the coupon?
Answers
70% of 4.50....turn percent to decimal...." of " means multiply
0.70(4.50) = 3.15 <==
another way...
4.50 - 0.30(4.50) = 4.50 - 1.35 = 3.15 <==
either way, u will get the same answer :)
The answer is $3.15.
Elyse is cutting strips of paper for a scrapbook page. Each strip is 1.5 centimeters wide. How wide will 10 strips of paper be?
Answers
A vendor at a festival sells soup for $1.25 per cup or 3.74 per quart. Which is better buy?
Answers
Compatible numbers to estimate the quotient 737.5÷9
Answers
Mateo bought 4.54 pounds of Fuji apples and 3.7 pounds of Golden Delicious apples.
How many more pounds of Fuji apples than Golden Delicious apples did he buy?
Answers
Mateo bought 0.84 pounds more of Fuji apples than Golden Delicious apples, calculated by subtracting 3.7 pounds (Golden Delicious) from 4.54 pounds (Fuji).
Mateo bought 4.54 pounds of Fuji apples and 3.7 pounds of Golden Delicious apples. To find out how many more pounds of Fuji apples he bought than Golden Delicious apples, you can simply subtract the weight of the Golden Delicious apples from the weight of the Fuji apples:
4.54 pounds (Fuji apples) - 3.7 pounds (Golden Delicious apples) = 0.84 pounds.
Mateo bought 0.84 pounds more of Fuji apples than Golden Delicious apples. This means that he purchased nearly 0.84 pounds extra of Fuji apples compared to the Golden Delicious variety.
It's important to remember that this calculation involves a straightforward subtraction of weights and doesn't require any complex mathematical operations. So, Mateo purchased approximately 0.84 pounds more of Fuji apples than Golden Delicious apples.
For more such questions on subtracting
https://brainly.com/question/17301989
#SPJ3
What is the product of 8 and 54