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
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'.
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order each set of integers from least to greatest -221, 63, 54, -89, -71, -10
Which of these numbers has the greatest absolute value? -43, -23, 0, 18
Ron is tiling a countertop. He needs to place 54 square tiles on each of 8 rows to cover the counter. He wants to randomly place 8 groups of 4 blue tiles each and have the rest of the tiles be white. how many white tiles wwill Ron need ?
Answer: There are 400 white tiles which Ron will need.
Step-by-step explanation:
Since we have given that
Number of rows to cover the counter = 8
Number of tiles to cover each 8 rows = 54 square tiles
So, total number of tiles to cover 8 rows is given by
[tex]8\times 54=432[/tex]
Number of groups on which 4 blue tiles are placed = 8
Total number of blue tiles on 8 groups is given by
[tex]8\times 4=32[/tex]
Remaining are the white tiles so, it is given by
[tex]432-32=400[/tex]
So, there are 400 white tiles which Ron will need.
5/4, 9/10, 4/5, 13/20 in order from lightest to heaviest
Multiply and answer on scientific notation : (3.8 x 10^8) (6.9 x 10^5)
draw a model to show a fraction that is equivalent to 1/3 and a fraction that is not equivalent to 1/3.
what is the value of st÷(6r) if r=5, s=32, and t=45
Lily plants 80 seeds in her garden. Half of then are carrots. The rest are pumpkins and radishes. There are 6 more pumpkins seeds than radish seeds. How many radish seeds are there?
8000 divided by 17000
Ms. Winter makes homemade bath soaps and bottles of lotion. In her inventory, she has 48 bath soaps and 64 bottles of lotion. She wants to use all of her inventory to make as many gift baskets as she can using the same number of bath soaps and the same number of lotion bottles in each gift basket. QUESTION: HOW MANY GIFT BASKETS CAN SHE MAKE AT THE MOST? EACH BASKET WILL CONTAIN HOW MANY BOTTLES OF LOTION AND HOW MANY BOTTLES OF BATH SOAPS???? pls
The longest bridge in the world is located in China. It is164,800 meters long. Another bridge in China is 69,732 meters long. Round each length to the nearest ten thousand to find the answer. What is the approximate difference between the lengths of the two bridges?
The figure shown is an equilateral triangle. Calculate the length of each side and give your answer in cm.
First side:2x-7
Second side:x+y-9
Third side:y+5
From the sides length of given equilateral triangle,
Length of each side = 21 cm
Given :
In an equilateral triangle , the length of sides are given by
First side:2x-7
Second side:x+y-9
Third side:y+5
All the sides are equal in equilateral triangle .
second side = third side length
[tex]x+y-9=y+5\\Subtract \; y \\x+y-y-9=y-y+5\\x-9=5\\x=5+9\\x=14[/tex]
first side =third side
[tex]2x-7=y+5\\\2(14)-7=y+5\\21=y+5\\21-5=y\\y=16[/tex]
Now we find length of the side
[tex]2x-7\\2(14)-7\\21[/tex]
All sides are equal in equilateral triangle
Length of each side = 21 cm
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Each of farmer Suzuki's 61,459 lambs is either black or white. There are 44 white ones. How many of Farmer Suzuki's lambs are black?
do we + - x or divide
Nick's iPod has 360 songs 15% are top-forty hits 40% are house music and the rest are Justin Bieber songs how many songs are top-forty hits, how many songs are house music, and how many songs are by Justin Bieber
Answer:
JUSTIN BIEBER
Step-by-step explanation:
360 ÷ 10 = 36 = 10%
36 ÷ 2 = 18 = 5%
36 + 18 = 54 = 15% = Top-Forty Hits
-
36 × 4 = 144 = 40% = House Music
-
144 + 54 = 198
360 - 198 = 162 = Justin Bieber
But just saying I ❤️ Justin Bieber
what decimal is equal to three tenths a 0.6 b 0.03 c 0.2 d 0.3 or a 0.10
Which ordered pairs are solutions to the inequality. 3x+4y greater than or equal to 12
(8,-3)
(-5,2)
(0,5)
(3,2)
Choose any that apply
The ordered pairs that are solutions to the inequality 3x + 4y ≥ 12 are (8, -3), (0, 5), and (3, 2). The pair (-5, 2) does not satisfy the inequality and is not a solution.
To determine which ordered pairs are solutions to the inequality 3x + 4y ≥ 12, we can substitute the x and y values from each pair into the inequality and see if it holds true.
For (8, -3), we check if 3(8) + 4(-3) ≥12, which gives 24 - 12 ≥ 12, so 12 ≥ 12. This pair is a solution because the inequality is satisfied.For (-5, 2), we check if 3(-5) + 4(2) ≥ 12, which gives -15 + 8 ≥ 12, so -7 ≥ 12. This pair is not a solution because the inequality is not satisfied.For (0, 5), we check if 3(0) + 4(5) ≥ 12, which gives 0 + 20 ≥ 12, so 20 ≥ 12. This pair is a solution because the inequality is satisfied.For (3, 2), we check if 3(3) + 4(2) ≥ 12, which gives 9 + 8 ≥ 12, so 17 ≥ 12. This pair is a solution because the inequality is satisfied.Therefore, the solution pairs are (8, -3), (0, 5), and (3, 2).
The average distance in kilometers (km) from the sun to the planet Mercury is about 58,000,000 km. Write this distance in scientific notation. .
How to divide 19 divided by 789 step by step?
To divide 19 by 789, we perform long division, considering decimal places and significant figures. A calculator can provide the decimal result, but users should adjust for the correct number of significant figures, especially when working with scientific notation where exponents are subtracted and coefficients are divided.
Explanation:Dividing 19 by 789 step by step is essentially the process of long division. To divide 19 by 789, we would write 19 as the dividend and 789 as the divisor. Since 19 is smaller than 789, we inherently work with a number less than 1. Therefore, we can apply division by powers of 10 to make the problem more manageable.
We start by considering decimal places and significant figures. For example, if we have 1.9436 and we want to divide it by 1000, we simply move the decimal point three places to the left, resulting in 0.0019436. When we convert ratios to whole numbers, we divide both sides by the smaller amount to simplify the division.
For instance, when calculating 337/217 using a calculator, we obtain a long decimal answer, but we must take into account the significant figures to report the answer accurately. In scientific notation, we subtract exponents during division but divide the coefficients normally.
What is 11.875 as a fraction
11.875 can be expressed as the fraction 11 7/8.
To express 11.875 as a fraction, we can start by recognizing that the decimal can be written as a mixed number with a whole number and a fraction component. The whole number is 11, and the fraction component is 0.875. To convert the fraction component to a fraction, we observe that 0.875 is equivalent to 875/1000 because there are 875 parts out of 1000 in the decimal representation. We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 125.
Dividing 875 by 125 results in 7, and dividing 1000 by 125 results in 8. Therefore, 0.875 can be simplified to 7/8.
Combining the whole number and the fraction component, we can write 11.875 as the mixed number 11 7/8.
Thus, 11.875 can be expressed as the fraction 11 7/8.
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identify and explain the error why GCF for 28, 42, 56 is 736
Which fraction is equivalent to negative 4 over 6?
6 over negative 4
negative 6 over 4
4 over negative 6
4 over 6
The fraction that is equivalent to -4/6 is 4/-6. so the correct option is C.
To find an equivalent fraction, we need to divide both the numerator and denominator by their greatest common factor.
In this case, the greatest common factor of 4 and 6 is 2.
Dividing -4 by 2 gives -2, and dividing 6 by 2 gives 3.
Since we have given the option as 4 over negative 6
Thus, -4/6 = 4/-6
Therefore, the fraction equivalent to -4/6 is 4/-6.
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write a Doble plus fact for the sum of 7
A double plus fact for 7 is found by using the closest doubles fact to 7 and adjusting one addend slightly, such as 3 + 4 = 7.
A double plus fact for the sum of 7 involves using the concept of doubles in addition. A doubles fact is a simple arithmetic addition where a number is added to itself. For example, 3 + 3 = 6 is a doubles fact.
To create a double plus fact for the sum of 7, we need to consider adding a number to a slightly different number close to a double fact. Here’s a step-by-step approach:
1. Identify the closest doubles fact to 7. In this case, 3 + 3 = 6.
2. Adjust one addend by 1 to reach the sum of 7. So, 3 + 4 = 7.
Therefore, a double plus fact for the sum of 7 is 3 + 4 = 7
What is the slope of the line on the graph?
Here is a trick question
A red house is made of red bricks a blue house is made of blue bricks
What is the green house made of
Who ever gets it right gets a brainliest
what is 35% of $100?
Miguel's grandparents love 159 miles from his house. if it takes 3 hours to drive to his grandparents house, what is the average speed?
Final answer:
To find Miguel's average speed, divide the distance to his grandparents' house, 159 miles, by the time it takes, 3 hours, which gives us an average speed of 53 mph.
Explanation:
To calculate Miguel's average speed when driving to his grandparents' house, we use the formula for average speed, which is the distance traveled divided by the time taken to travel that distance. In this case, if Miguel's grandparents live 159 miles away and it takes 3 hours to get there, we divide the distance by the time to find the average speed:
Average speed = Distance ÷ Time
Average speed = 159 miles ÷ 3 hours
Average speed = 53 miles per hour (mph)
Therefore, Miguel's average speed to his grandparents' house is 53 mph.
Estimate the product of 54x68
Find the solution to the system of equations graphed here.
A)
(-1, -3)
B)
(1, -3)
C)
(1, 3)
D)
(3, 1)
The solution of the given system of equations is (1,3) and this can be determined by using the given data.
Given :
The pink line in the graph passes through the point (0,5) and (2.5,0).The blue line in the graph passes through the point (0,4) and (4,0).The equation of a pink line that passes through the point (0,5) and (2.5,0) is:
[tex]\dfrac{y-5}{x-0}=\dfrac{0-5}{2.5-0}[/tex]
Simplify the above equation.
(y - 5) = -2x
y + 2x = 5 --- (1)
The equation of a blue line that passes through the point (0,4) and (4,0) is:
[tex]\dfrac{y-4}{x-0}=\dfrac{0-4}{4-0}[/tex]
Simplify the above equation.
y - 4 = -x
y + x = 4
y = 4 - x --- (2)
Substitute the value of 'y' in equation (1).
4 - x + 2x = 5
x = 1
Substitute the value of 'x' in equation (2).
y = 4 - 1
y = 3
Therefore, the correct option is C).
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Sharon is 54 inches tall. A tree in her backyard 5 times as tall as she is. The floor of her tree houses at a height that is twice as tall as she is. What is the difference, and inches, between the top of the tree in the floor of the treehouse