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.
Help Please - Overdue - Volume -
help mee this is confusing I don't know what to do
Answer: this is telling you how many group or people there are for example in gruop b there is 2 out of 5
Step-by-step explanation:
Dont guess!
I will mark brainliest if its correct!
Answer:
J) V = (20 x 16 x 8) + (20 x 42 x 8)
P.S. the volume is 9280 units³
Step-by-step explanation:
Dont guess!
I will mark brainliest if its correct!
Answer:
C
Step-by-step explanation:
Try out the possibilities:
18/-2=-9
12/-2=-6
-6/3=-2
-6/-2=3
12/3=4
18/3=6
-9,-6,-2,-3,4,6
Hope this helps !
Mr. O’Reilly has a cup of coffee at a diner. The cup of coffee costs $1.25, and he leaves a 60% tip. How much does he leave for a tip?
anyone pls help
Answer:
.75
Step-by-step explanation:
Select all the sets of three side lengths that will make a triangle.
Multiple select question.
A)
3, 4, 8
B)
7, 6, 12
C)
5, 11, 13
D)
4, 6, 12
E)
4, 6, 10
Answer:
C. and E.
Step-by-step explanation:
Can't tell you how I know but I believe this is correct.
Question 5(Multiple Choice Worth 5 points)
(8.02 LC)
The coordinate grid shows the graph of four equations:
A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6.
Which set of equations has (1, 2) as its solution?
A and D
C and D
A and C
B and D
Answer:
I think it is A and C
A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 5 had a mispriced item. If 1,000 people go to this store each day, how many people would you expect to have a mispriced item?
You would expect there to be people per day who have a mispriced item.
Answer:
100
Step-by-step explanation:
1000/50 = 20
5*20 = 100
I am so bad at math so i need help
a) a+b=b+a
the commutative property of whatever number is it turned around
b) a * b= b*a
the commutative property of whatever number is it turned around
c) b+0=b
the additive property is whatever adds to zero is that number.
d) b*1=b
the multiplication property of one is whatever mutilply by 1 is that number.
I REALLY need help with this worksheet. it is due tonight and I really don't understand it
Answer:
Step-by-step explanation:
Basically, try finding the x and y intercept for each problem and then make those your coordinates!!
Step-by-step explanation:
1) So to answer these questions first plot the "b" value (which in number 1's case would be 3).
2) Go up three spaces on the graph. and that should leave you at the point (0,3) Plot this point.
3) Now go down 3 (-3x) and go over one point to the right(this should put you at point (1,1). Plot this point.
4) Move on to the next equation in number one. Go up three spaces on the graph.
5) Go down one and over one until you find that you have plotted a point in which both equations intercept (this point would be (0,3).
6)Repeat this process for the rest of the problems
Expand and simplify these 12 questions
Answer:
1. 3x+15
2. 4x+36
3. 4x+36
4. 6x-2
5. 5x-10
6. 4x-24
7. 2x+1
8. 6x+21
9. 4x+16
10. 4x+10
11. x+4
12. 5x-10
To expand an equation, you can apply the distributive property
==> The distributive property, sometimes known as the distributive property of multiplication, tells us how to solve certain algebraic expressions that include both multiplication and addition.
CREDIT: prepscholar.com ^ for the definition of the distributive property
What is the simplified form of:
Answer:
A.
Step-by-step explanation:
4π√5 - 2π√5 ÷ 3√5
=2π√5 ÷ 3√5
root 5 cancels out
=2π ÷ 3
The following data points represent the number of guests at Hunter's Ribeye BBQ House each day since they opened.
96,279,255,254,75,211,271,291
Using the data, create a histogram.
I REALLY NEED HELP
Don't guess!
I will mark brainliest if its correct!
Don't answer if you don't know!
Also no links!
And show your work plz!
Answer: A 5
Step-by-step explanation:
20% * 25
= 0.2 * 25
= 5
She can expect to hit the bullseye 5 times.
Answer:
A. 5
Step-by-step explanation:
Regina throws 25 darts and hits the bullseye 20% of the time. So we would set up the equation as 0.20*25 (as we are looking for 20% of 25 and of means multiplication and 20% is 0.20). 0.20*5=5 so she can expect to hit the bullseye 5 times. Therefore, A is the correct answer choice.
I really don't get what I'm supposed to do...
Answer:
check below
Step-by-step explanation:
1. c = 68-27 = 41
2. t = 7.9+1.5 =9.4
3. a = 21*3 = 63
4. (multiply whole equation by 8) 8r+6=7, r=1/8
5. x = 25.2/4.2 = 6
6. b = 75/15 = 5
7. A. 6C = 99
B. C = 99/6 = $16.50
The solution represents the cost of one ticket.
Divide. Write the quotient in lowest terms.
2 3/4 divided by 3
A homeowner called in a painter to paint the bedroom walls and ceiling. The bedroom is 15 ft. long, 12 ft. wide, and 10 ft. high. The room has two doors each 3 ft. by 8 ft. and three windows each 3 ft. by 5 ft. The doors and windows do not have to be painted. A gallon of paint can cover 300 square feet. How many gallons of paint must he use?
Show all of your steps
Answer:
I think he will need around 5.69 gallons of paint
Step-by-step explanation:
A cell phone company charges a one-time activation fee, as well as a monthly service charge for a cell phone plan with unlimited minutes and data. The total cost is modeled by the function C(x) = 99 + 85x. Which statement represents the meaning of the function?
A. C(x) is the total cost, xis the number of months of service, $85 is the one-time activation fee, and $99 is the service charge per month.
B. C(x) is the total cost, x is the number of months of service, $99 is the one-time activation fee, and $85 is the service charge per month.
C. x is the total cost, C(x) is the number of months of service, $99 is the one-time activation fee, and $85 is the service charge per month.
D. x is the total cost, C(x) is the number of months of service, $85 is the one-time activation fee, and $99 is the service charge per month.
Answer:
prob b
Step-by-step explanation:
tell me if i got it wrong if so i will try again :)
!! IMAGE ATTACHED !!
In the diagram, line GH is perpendicular to line IJ. What is the measure of angle 1?
A. 37°
B. 53°
C. 63°
D. 74°
someone help me with my math...no bias answers, please
Answer:
61.8m^2are
Step-by-step explanation:
3 times 9 = 27
you multiply that two more times because there are 3 of them. So now we have 54 m.
Now we find the area of the triangles
area = 1/2 base times height
1/2(2.6) * 3
1 * 2.6 * 3/2
2.6 * 3/2
7.8/2
3.9
3.9 times 2 because there two triangles
7.8 + 54 = 61.8 m^2
Mallorie is measuring the rug in her bedroom with a yardstick. She gets 2 yards the first time she measures, then she gets 6 feet the second time she measures. Qhy are the lengths different and no picture included
Answer:
because the length and width are 2 different measurements
Step-by-step explanation:
TJ is investing his birthday money in a savings account that pays 3% interest. If he invests $200, how much will he have at the end of 9 months?
A. $204.50
B. 450.00
C. 245.00
D. 540.00
Answer:
A. $204.50
Step-by-step explanation:
please help me asap please show work
Sandy says the graph could represent a person's walk from home to school. Why is Sandy's analysis incorrect?
A. The person does not walk at a constant rate.
B. The person walks to school and then returns home.
C. The person's distance from home decreases as time passes.
D. The person does not travel far enough to be going to school.
Answer:
C
Step-by-step explanation:
C: The graph shows that there is no movement for the first few minutes, and then the distance from home decreases (rather than increases).
PLEASE HELP ME WITH THIS. THANK U.
Answer:
B' is (2, 0) and C' is (7, 1)
Step-by-step explanation:
Compare A and A' and you see that you added 2 to X and 5 to Y. Now you simply apply this to B and C to find B' and C'
Answer and explanation?
Letter C, E, and F: 2 8/10, 2.8, and 28/10
Step-by-step explanation: The shaded pillars/rectangles inside the squares account for the fractions. In this question, there are 10 pillars per square and 2 shaded in squares. Since there are two full squares, there are two wholes. In the third block, there are only 8 shaded. Because 8 out of ten are shaded, the fraction would be 8/10 (said as eight tenths). Overall, there are two wholes (the shaded squares) and 8/10 of a whole. Therefore, it is 2 8/10. 0.8 equals 8/10 (you can determine it by the way it is said ex: you would say “zero and ...” (and = decimal) “... eight tenths” or just “eight tenths” for .8, and 8/10 is said the same way). Since 2.8 and 2 8/10 are equal, 2.8 would also be an answer. 28/10 would be another correct answer because the two wholes/squares each have 10 pillars. In total, there are 20 pillars for the two wholes. If the 8/10 (8 out of 10) is added, the total would be 28/10. Hope this helps!
Solve: 2x + 3y+4
-7y=4x-8
Answer:
Step-by-step: 6+2y-=x 3+2x-=y
y
=
−
x
2
+
3
The table shows the number of bottles of different kinds of juice sold at a cafeteria on Monday.
If the cafeteria has 80 customers on Tuesday, which prediction for Tuesday is NOT supported by the data in the table?
Pls answer ASAP
help plz i need it really quick
Answer:
20 messages per hour
Step-by-step explanation:
160 messages in 4 hours
160/4
= 20
20 messages per 1 hour
Answer: 2.08333333333 That should be the answer I think
Step-by-step explanation:
Harmonee walks 3/4 of a mile to the store. As she walks, she stops every 1/4 mile to take a sip from her water bottle. How many times does she stop?