Answer:
How to Find Common Denominators
If you are trying to add or subtract fractions with different denominators, you’ve come to the right place! In order to add or subtract fractions, we have to have common denominators. Sometimes, though, you’re given a problem that looks like this:
Those are definitely not common denominators! In order to get the denominators the same, follow these steps:
1. List multiples of both numbers. Start by listing four multiples for each number.
4: 4, 8, 12, 16
2: 2, 4, 6, 8
2. Look at the lists you’ve made. Underline any numbers that are on both lists.
4: 4, 8, 12, 16
2: 2, 4, 6, 8
3. Look for the smallest underlined number (known as the least common multiple, or LCM). This is your common denominator.
Common denominator: 4
4. Multiply the numerator and denominator by the factor that it would take to get to your common denominator…like this:
and this:
For this multiplication, the first number you use is the fraction you are changing, and the second number comes from the answer to this question: “what number would I multiply the denominator by to get to the common denominator?” For the first fraction, your denominator is already your common denominator, so you simply multiply it by 1/1. We multiply by 1 (or a fraction equaling one) because this does not change the amount of the fraction, it just changes the name of the fraction. For the second fraction, you would multiply by 2/2 because your denominator (2) needs to be multiplied by 2 to reach the common denominator of 4.
Now that you have common denominators, you can simply add the fractions together. Remember, when you add fractions, the numerators (top numbers) add and the denominators (bottom numbers) stay the same!
Your new problem would look like this:
Once you add them, you should get 5/4
If you know how to simplify this (by changing it into a mixed number), please do so. If not, please review how to deal with improper fractions.
Want one more practice problem with finding common denominators? This time, we’ll do a subtraction problem. Here it is:
Follow the same steps. They are:
1. List the multiples for each number.
3: 3, 6, 9, 12
4: 4, 8, 12, 16
2. Look at the lists you’ve made. Underline any numbers that appear on both lists.
3: 3, 6, 9, 12
4: 4, 8, 12, 16
3. Look for the smallest underlined number (least common multiple, or LCM). This is your common denominator.
Common denominator: 12.
4. Multiply the numerator and denominator of each fraction by the factor that it would take to get to your common denominator. Think about it like this:
What do you multiply by 3 to get to 12? Well, we know that 3 x 4 = 12, so we know we need to multiply by 4:
Now, we do the same thing with 1/4 to get:
What do you multiply 4 by to get to 12? Well, we know that 4 x 3 = 12, so we know we're going to multiply by 3. That looks like this:
Now we have both of our fractions with common denominators, so we can subtract! Remember, in a subtraction problem, the numerators subtract but the denominators stay the same. It looks like this:
Now see if you can fill in the answer. If you got 1/12, you're right!
Step-by-step explanation:
Answer:
Common denominator: 40
Step-by-step explanation:
Using LCM (Lowest Common Multiple) method, if you add in the values of the given denominators of the equation, the answer should be 40.
Will Mark Brainliest! Please help!
An expression is shown below:
2x3 + 10x2 − 4x2y − 20xy
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
pls help quick. will give brainliest
The diameter of a circular garden pool is six feet. What is the area of the pool?
Answer:
113.04
Step-by-step explanation:
Find the area of the figure.
Consider the triangles below.
2 right triangles. Both triangles have side lengths of 5.5 and 7.8. The hypotenuses are blank.
Imagine using these triangles to construct a figure. What figure would you create?
Answer:
rectangle
Step-by-step explanation:
HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
l = 14
Step-by-step explanation:
The perimeter of a rectangle is
P =2(l+w)
The width is x-6
w = x-6
The length is 8 units longer than the width
l = w+8
l = x-6+8
l = x+2
We can substitute this into the equation for Perimeter, which is given as 40
40 = 2(x+2 + x-6)
Combine like terms
40 =2 (2x-4)
Divide by 2
40/2 = 2/2 (2x-4)
20 = 2x-4
Add 4 to each side
20+4 =2x-4+4
24 = 2x
Divide by 2
24/2 =2x/2
12=x
We want to know the length
l = x+2
l =12+2
l = 14
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Multiply the length that you have been given by 2
2: Then, subtract the result from the perimeter.
3: You now have the total length for the remaining 2 sides.
4: Width or height is the number divided by 2.
Please answer I will give you brainliest
Answer:
left one, up three
Step-by-step explanation:
-1 means left 1 from origin. 3 means up 3 from origin.
Please mark Brainliest
⚡✨
plssss help me!
i am doing aleks who els knows what that is?
Answer:
The missing digit is 7
Step-by-step explanation:
Well the bottom part of the shape is 16, and if you take away the length of the part on top of it, which is nine, you would get 7
7.4E Show your work on your own paper, you will have to turn it in at the end of this form.
The distance between the two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles.
Which measurement is closest to the number of miles between these two towns.
A. 75mi
B. 3 mi
C. 192mi
D.117mi
i ish confuzzled plz help
Answer:
If your looking for the slope-intercept from of each one then its:
1) [tex]\frac{4}{3} + 0[/tex] or [tex]\frac{4}{3}[/tex]
2) 0x + 5
3) [tex]\frac{3}{2}x - 3[/tex]
4) [tex]\frac{1}{5} x + 0[/tex] or [tex]\frac{1}{5} x[/tex]
5) x + 5 or 1x + 5
Hope this helped!
help please omg ive been working on this for such a long time
Answer:
D
Step-by-step explanation:
It D because you must divide to get the cost for each notebook since there are 6 notebooks and they all cost $13.50. [tex]6\sqrt{13.50}[/tex] so, 2.25 each.
PLEASE NO LINKS OR FILES ALL IM ASKING IS FOR AN HONEST ANSWER PLASE AND THANK YOU WILL GET BRAILEAST IF CORRCT :))
Answer:
7?
Step-by-step explanation:
72/10 squares = about 7
plz help me to answer this
Answer:
1 a 2 b 3 d 4 c 5 c 6 b
Step-by-step explanation:
im lost plz help me Im not dat good at math
Answer:
A = 180
B = 180
C = 270
D = 90
E = 90
F = 180
G = 270
H = 90
I = 180
Step-by-step explanation:
RECIPES A recipe that makes 8 jumbo blueberry muffins calls for teaspoons of baking powder. How much baking powder is needed to make 3 dozen jumbo muffins in unite rate?
Group of answer choices
A. 192 tsp
B. 6 3/4 tsp
C. 4 1/2 tsp
D. 2 1/4 tsp
Answer:
c
Step-by-step explanation:
can you do these two pls
forty yards of fabric are used to make 9 school banners. how many yards of fabric does banner use? between what 2 whole numbers does that answer lie?
Answer:
4 4/9,4 and 5
Step-by-step explanation:
PLZZZZZZ help with this
Answer:
28m⁷n⁵
Step-by-step explanation:
You would first multiply 14 by 2. You would then multiply (which is really addition when it comes to exponents) your like-term exponents.
(14m²n⁵)(2m⁵) =28m⁷n⁵
14(2) = 28
m² + m⁵=m⁷
n⁵ + 0 = n⁵
Answer:
[tex]28 {m}^{7} {n}^{5} [/tex]
Step-by-step explanation:
14*2=28; m^2*m^5=m^7.
When you're working with multiplication of powers, you have to add the exponents. For example
[tex] {x}^{4} \times {x}^{2} = {x}^{6} [/tex]
Because
[tex] {x}^{4} = x \times x \times x \times x \\ {x}^{2} = x \times x \\ {x}^{4} \times {x}^{2} = x \times x \times x \times x \times x \times x = {x}^{6} [/tex]
pls answer im not smart when it comes to this
Answer:
203
Step-by-step explanation:
....
A pair of equations is shown below: y = 3x − 5 y = 6x − 8 Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points) Source StylesNormal
Answer:
Intersect/Solution at (1, -2)
Step-by-step explanation:
Equation 1: y = 3x - 5
Equation 2: y = 6x - 8
Step 1 Mutliply each side of equations one by -2
New Equation 1: -2y = -6x + 10
New Equation 2: y = 6x -8
Add the Equations: -y = +2
Multiply each side by -1 and you'll get that y = -2
Plug in -2 to either equation: -2 = 3x - 5
add 2 to each side 0 = 3x -3
add 3 to each side 3x = 3
divide by 3 and you'll get that x = 1
Part A:The solution of the pair of the equation is,x=1 and y=- -2.
Part B: If the two equations are graphed, at point (1,-2) will the lines representing the two equations intersect.
How to get the slope intercept form of a straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = mx +c
A pair of equations is shown below:
y = 3x − 5 -------1
y = 6x − 8 --------2
Substitute the value of y from the equation 1 into equation 2;
3x − 5=6x − 8
3x=-5+8
3x=3
x=1
Put the value of x in the equation 1;
y = 3x − 5 -------1
y=3(1)-5
y=- -2
Hence,the solution of the pair of the equation is,x=1 and y=- -2 and at point (1,-2) will the lines representing the two equations intersect.
To learn more about slope intercept form refer:
https://brainly.com/question/2503591
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PLEASE HELP, ILL GIVE BRAINLIEST! SIMPLE MATHS.
what is 34.126 divided by x
Answer:
x
Step-by-step explanation:
In which set do all of the values make the inequality 2x-1<10 true?
A. {10,15,20}
B. { 5,7,9}
C. {4,6,8}
D.{2,3,4}
struggling :(
Answer:
d
Step-by-step explanation:
10+1 > 2x
11 > 2x
11÷2 > x
5.5>x
in answer a we have 10>5.5
in b 5
in c 6
Find the total surface area of the milk carton.
105 in2105 in2
72 in272 in2
74 in274 in2
126 in2
please I don't have time
Answer:
126 in²
Step-by-step explanation:
I will send you a photo that has the step by step explanation
A student wanted to use toilet paper to show the distance of one Astronomical Unit, or the distance from the Sun to Earth. They decided to use a scale factor of 1 square of toilet paper = 100,000 km. How many rolls of toilet paper will the student need, if each roll of toilet paper has 500 squares?
A.5 C.3
B.8 D.1
a bag of jellybeans has 20 watermelons jellybeans, 45 sour apple jellybeans, 30 orange jellybeans and 5 cotton candy jellybeans. if you reach in and grab one jellybean, what is the probability that it will be watermelon flavored
help fast pls 7th grade
The probability that it will be watermelon flavored is -
P{E} = 1/5.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a bag of jellybeans has 20 watermelons jellybeans, 45 sour apple jellybeans, 30 orange jellybeans and 5 cotton candy jellybeans.
We can write the probability as -
P{E} = (20)/(20 + 45 + 30 + 5)
P{E} = 20/100
P{E} = 1/5
Therefore, the probability that it will be watermelon flavored is -
P{E} = 1/5.
To solve more questions on probability, visit the link below-
brainly.com/question/1041084
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(Area of Composite Figures)Help me pls.
Answer:
69 centimeters squared
Step-by-step explanation:
First, find the area of the big square = 11cm * 4cm = 44cm
Next, find the area of the leftover square = 5cm * 5cm =25cm
Add them together to get 69 centimeters squared
Hopefully this helps - let me know if you have any questions!
Answer:
69 centimeters squared
Step-by-step explanation:
Can someone please help me find the sum of each interior angle measure of the polygon, and can you please explain. I need help on both of these questions.
Answer:
what are the measures
Step-by-step explanation:
If 25% of a number is 12, what is 75% of that number?
Answer:
36
Step-by-step explanation:
[tex]\frac{0.25}{0.75} =\frac{12}{x} \\[/tex]
[tex]0.75 *12=9[/tex]
[tex]\frac{9}{0.25} =36[/tex]
True or False?
When rainfall increases, the water level in the lake goes up. Rainfall is the independent variable in this situation. (4 points)
True
False
Question 2 (4 points)
(07.07)
Diana can earn money for the tickets she sells. Which of the following statements describes the variables in this situation correctly? (4 points)
a
The amount of money earned is the independent variable because it affects the number of tickets sold.
b
The amount of money earned is the dependent variable because it affects the number of tickets sold.
c
The number of tickets sold is the independent variable because it affects the amount of money earned.
d
The number of tickets sold is the dependent variable because it affects the amount of money earned.
Question 3 (4 points)
(07.07)
Calvin's plane is flying at a speed of 600 miles per hour. If y represents the distance the plane has traveled and z represents the time it has spent traveling, which of the following equations shows the relationship between y and z? (4 points)
a
y = 600 + z
b
z = 600 + y
c
z = 600y
d
y = 600z
Question 4 (4 points)
(07.07)
It costs $3.56 to buy a pack of pencils. Which of the following equations shows the amount of money needed, x, to buy k packs of pencils? (4 points)
a
x = 3.56k
b
k = 3.56x
c
x = 3.56 + k
d
k = 3.56 + x
Question 5 (4 points)
(07.07)
Christina built a small hot air balloon and recorded the distance it traveled. The table below shows the vertical distance traveled (v) during the first 4 seconds after starting (s).
Elapsed Time
(seconds) Distance Traveled
(feet)
1 1.2
2 2.4
3 3.6
4 4.8
Which of the following equations represents the relationship between the distance traveled and the elapsed time? (4 points)
a
v = 1.2s
b
s = 1.2v
c
v = 1.2 + s
d
s = 1.2 + v
60 x 5?
help plzzzzzzzzzzzzzzzz
Answer:
300
Step-by-step explanation:
6 x 5= 30, so just add one zero to 6 and add a zero to 30