How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions

Answers

Answer 1
Infinitely many ways! 
Suppose you have the fraction 2/d.

Pick any pair of integers a and b where b ≠ 0.
Then 2b-ad is and integer, as is bd so that (2b - ad)/bd is a fraction.

Consider the fractions a/b and (2b - ad)/bd

Their sum is 
a/b + (2b-ad)/bd = ad/bd + (2b-ad)/bd = 2b/bd = 2/d - as required.

Since a and b were chosen arbitrarily, there are infinitely many possible answers to the question.

Related Questions

Nina can type 45 words per minute. Write the ordered pairs (number of minutes,number of words) Nina can type for 0,1,2, and 3 minutes. Explain your answer

Answers

(0,0) (1,45) (2,90) (3,135) because she types 45 words each minute so you add 45 as many times the minute says or multiply

How do you compare integers

Answers

If there are two numbers we can compare them. One number is either greater than, less than or equal to the other number. If the first number has a higher count than the second number, it is greater than the second number.
Final answer:

Comparing integers involves assessing their relative positions on the number line. A positive integer is always greater than a negative one. Among negative integers, the one closer to zero is greater.

Explanation:

To compare integers, you should first understand that integers are whole numbers that can be either positive or negative. If two integers are positive, the integer with the higher value is greater. If two integers are negative, the integer with the lower value is greater. If one is positive and the other is negative, the positive integer is always greater.

For example, when you compare the integers 3 and -5, you can say that 3 is greater than -5 because it is a positive number while -5 is negative. When comparing -2 and -7, -2 is greater because its value is closer to zero. It's also important to consider the concept of absolute value; the absolute value of an integer is its distance from zero on the number line, regardless of direction.

In situations that involve ratio problems or interval scale data, the comparison of integers becomes significantly important. For instance, if the scores on an exam are 80, 68, 20, and 92, you can rank the scores from lowest to highest (20, 68, 80, 92), and infer that a score of 92 is 24 points higher than a score of 68.

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if a sea otter swam 5.6 miles per hour for 1.5 hours, how many miles did the sea otter swim?

Answers

Multiplying the sea otter's swimming speed of 5.6 miles per hour by the time spent swimming of 1.5 hours, we find that the sea otter swam a total of 8.4 miles.

If a sea otter swam 5.6 miles per hour for 1.5 hours, we can calculate the total distance covered by multiplying the speed of the sea otter by the total time swum. This is because distance is the product of speed and time according to the formula:

Distance = Speed ×Time

So, for the sea otter:

Distance = 5.6 miles/hour × 1.5 hours = 8.4 miles

Therefore, the sea otter swam a total of 8.4 miles.

Chris has a loan for $4200 at a rate of 8% annually. If the interest is not compounded, how much interest will he pay in 6 years?

Answers

ur answer for this quarry is 2,016

Answer:

The Answer is $2016.00

Step-by-step explanation:

i = prt = (4200)(0.08)(6) = 2016

Use the formula i = prt, where

p = principal or starting amount

r = interest rate expressed as a decimal

t = time in years

Antoine and 3 friends divide some pennies evenly among themselves. Each friend separates his pennies into 3 equal stacks with 5 pennies in each stack.

Write a multiplication sentence that shows the total number of pennies.

Answers

3*5 Hope this helps!;D
the multiplication problem is 3x5=15 pennies

there are 9 positions on the softball team. Three people are trying out for each position.How many people are trying out ?

Answers

There are 3 people a standard soft ball team is 9 players
To figure out this equation, you need to multiply the nine positions by the three people trying out for each position.  The answer is 27. If the multiplication is too hard for you, try adding three nine times to get the answer. I hope this helps! :)

Rita is hiking a trail that is 13.2 miles long so far she hiked along one -tenth of the trail how far did Rita hike

Answers

1.32 MILES is the distance she hiked

Addison pays $36 for a 12-month magazine subscription. How much does Addison pay per month?

Answers

36 divided by12 is three
so the answer is $3 dollars per month

Answer:

3$

Step-by-step explanation:

just divide 36 by 12 to get 3.

Donna put $450 into a 6-month certificate of deposit that earns 4.6% simple annual interest. How much interest did the certificate earn?

Answers

Answer:

10.35

Step-by-step explanation:

Ms lemus buys 7 boxes of snacks .each box has 12 packets of fruit snacks and 18 packets of cashews.tape diagram and multiplication to solve

Answers

do 7x12 then do 7x18 and add each answer, you should get 126. So in a sentence say.
, "I did 7x12 and 7x18 and added each number together, soon after adding I got 126." hope this helped :)

In the 7 boxes, there are 126 packets of cashew and 84 packets of fruit snacks. The total number of packets in the boxes is 210 packets.

Given information:

Ms. Lemus buys 7 boxes of snacks.

Each box has 12 packets of fruit snacks and 18 packets of cashews.

The number of packets of fruit snacks in the 7 boxes will be,

[tex]7\times 12=84\rm\; packets[/tex]

The number of packets of cashews in the 7 boxes will be,

[tex]7\times 18=126\rm\; packets[/tex]

The total number of packets in the 7 boxes will be 126+84=210 packets.

Therefore, in the 7 boxes, there are 126 packets of cashew and 84 packets of fruit snacks. The total number of packets in the boxes is 210 packets.

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Corey walked three blocks east and then six blocks north. All the blocks were the same length. What is the value of the slope of the line from where Corey began walking to where he finished?

Answers

The answer is 2........................................

Answer:

C. 2

Step-by-step explanation:

martin has 18 coins, all dimes and quarters, worth $2.85. how many dimes does he have

Answers

Since 1 quarter equals 25 cents, 3 will equal 75.

Then how do you get 85?

Well 75 + what ( x ) is 85?

Or 85 - 75 is what?

85 - 75 is 10.

10 cents is a dime. So add a dime to it. So now you have a total of 4 coins. You need to find the leftover 14 coin values.

So, 10 dimes is a dollar and 4 quarters is a also dollar.

10 + 4 is 14 and a dollar + a dollar is 2 dollars.

2 dollars + those 4 coins, 85 cents is $2.85.

You`re final answer is : Martian has 11 dimes and 7 quarters.

Selina is planning to paint a large picture on a wall. She draws a smaller version first. The drawing is 8 inches by 6 inches. If the scale of the drawing is 2 in : 1 ft, what is the area of the actual picture on the wall?

If it's possible, can you list step-by-step the procedures? Thanks!

Answers

Final answer:

To find the actual picture's area, multiply the drawing's dimensions by the scale factor of 6, convert it to feet, and calculate the product to get 12 square feet.

Explanation:

The student asks for the area of an actual picture on a wall based on its scale drawing. The scale of the drawing is stated as 2 inches to 1 foot, which means each 2 inches on the drawing corresponds to 12 inches (1 foot) in reality. The steps to calculate the area are as follows:

Calculate the scale factor: Since 2 inches on the drawing corresponds to 12 inches, in reality, the scale factor is 12 inches \/ 2 inches = 6.Determine the actual dimensions: Multiply the dimensions of the drawing by the scale factor. The actual width is 8 inches * 6 = 48 inches, and the actual height is 6 inches * 6 = 36 inches.Convert dimensions to feet: Since 1 foot is 12 inches, the actual dimensions in feet are 48 inches \/ 12 inches per foot = 4 feet (width) and 36 inches \/ 12 inches per foot = 3 feet (height).Calculate the actual area: Multiply the actual dimensions. Area = width * height = 4 feet * 3 feet = 12 square feet.

Therefore, the area of the actual picture on the wall is 12 square feet.

Tom is afraid of heights above 9 feet. He is asked to repair a side of a high deck. The bottom of a ladder must be placed 6 feet from a deck. The ladder is 10 feet long. How far above the ground does the ladder touch the deck? Is tom afraid of the height

Answers

Use pathagoream theorem. You get the equation: 10^2=6^2+x^2 then solve and simplify to get x=8 So no Tom is not afraid of the heights
The ladder touches the deck at 8 feet high..
a = 6 ft ; b = unknown ; c = 10 ft

6² + b² = 10²
b² = 10² - 6²
b² = 100 - 36
b² = 64
b = √64
b = 8 feet.

find the product 7x6,000=

Answers

The answers is 42,000

Melanie is making desserts for a holiday party. For one recipe, she needs 1/3 cup of flour, for another, she needs 1 3/4 of flour, and for another recipe, she needs 4 1/2 cups of flour. If she has 10 cups of flour in a bag, how much flour will be left in the bag?

Answers

3.42 is the answer. or 3 and 42/100 yep that is the answer
3.42 is the correct answer. You can trust the answer above

I need help on 12, I don't know how to make that an expression! Thanks! Please explain!

Answers

A rug maker is using a pattern that is a rectangle with a length of 96 inches and a width of 60 inches. The rug maker wants to increase each dimension by a different amount. Let l and w be the increases in the length and width. Write and simplify an expression for the perimeter of the new pattern.

p=2(96+l)+2(60+w)
This is the equation. p is for perimeter. (96+l) represents the original length plus the change in length. The 2 before (96+l) represents that there is one length on each side of the rectangle.
Same for the width. (60+w) represents the original width plus the change in width. The 2 before (60+w) represents that there is one width on each side of the rectangle.
The simplified equation is p=(192+2l)+(120+2w) (this is your answer)

I hope this helps!

numbers that are equal to 9.32 when increased by 4.65

Answers

This just means what number plus 4.65 equal 9.32. To get the answer you take 0.32 and minus it by 4.65. 
9.32 - 4.65 = 4.67
4.67 is your answer

what is the value of x in
150-35x=45

Answers

Your answer is x = 3 because if you take 150 and subtract it by both sides: 
 150 - 35x = 45
-150           -150

you have to cross out both 150 and -150, take 45 and subtract 150 which will give you -105. 
  -35x = -105 

take -35 and divide by both sides. Cross out the two -35's. Take -105/-35 which your answer is x = 3. Hopes this helps. :)

~Shadow

One half u subtracted from 3 times u

Answers

One half u is also one half times u.

1/2u
or
u/2

This value is subtracted FROM 3 times u, or 3u.

Your expression would then be:
3u-u/2
Final answer:

The expression 'one half u subtracted from 3 times u' translates into the algebraic expression 3u - (½u), which simplifies to 2½u or 2.5u.

Explanation:

The expression 'one half u subtracted from 3 times u' can be translated into an algebraic expression. To do this, we need to understand basic operations with variables. One half of u is ½u or 0.5u, and three times u is 3u. Therefore, the expression would be written as 3u - (½u).

Subtracting one half of u from 3 times u involves the operation of subtraction, and when you subtract ½u from 3u, the resulting expression simplifies to 2½u or 2.5u. This shows how a grasp of fractions and variables allows us to manipulate and simplify algebraic expressions.

what is the answer to 6 – 4r = -3r

Answers

Let's solve for "r" by bringing them all to one side.
-3r=6-4r
+4r    +4r
r=6
So, r is equal to 6.
So you have to add the like terms together,

6 - 4r = -3r
    +4r   +4r

        6=1r
   Divide 1 to both sides.
       
      6=r

Jack and Tyler ate a total of 35 cupcakes Tyler ate 5 more than jack how many did each person eat

Answers

Well Tyler ate 20, and Jack ate 15. I say this because I just subtracted the 5 cupcakes from the complete amount and got 30. Then I divided that by the two boys, and that gave them 15 each, but then I added back the 5 to one of the boy's totals (being Tyler's since he ate five more) And Tyler was left eating 20 while jack still ate 15.
tyler ate 20 jack ate 15 

Describe how you labeled the bar model and wrote a number sentence to solve exercise 2

Answers

Your gonna have to show us a picture so we can help you out
Please show as a picture so we can help you! :)

Adam collected 14 pennies in the first week and 9 pennies in the second week how many more pennies did he collect in the first week then the second week

Answers

He collected 5 more pennies in the first week than he did in the second.
14 pennies - 9 pennies = 4 pennies "How many more" is a subtraction phrase. So therefore, he collected 4 pennies in the first week than the second week

Marcus and Jeremy both evaluated the expression −52 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student’s work.

I know who is correct, i just need to know how Jeremy messed up.

Answers

Marcus is correct. Jeremy squared -5 instead of 5. The negative is not within parentheses, so it is not squared.

Answer: Jeremy squared 5 instead of 5. The negative is not within parentheses, so it is not squared.

Step-by-step explanation:

Last month Jordan received a promotion and became a manager he now earns the same amount as Serena how much more money does he earn per hour now that he is manager than he did before his promotions explain your thinking.

Answers

Final answer:

To find out how much more money Jordan earns per hour now, you would subtract his old wage from his new wage. For example, if his old wage was $8/hr and his new wage is $12/hr, he is making $4 more per hour now.

Explanation:

The question does not provide the exact amount that Jordan was earning before the promotion or the current rate that both Jordan and Serena are earning now. However, you can find out how much more Jordan is earning now by subtracting his old hourly wage from his current wage (which is now equal to Serena's). For example, if Jordan was making $8 an hour before his promotion and is now making $12 an hour as a manager (the same as Serena), then he is earning $4 more per hour since his promotion.

Here's a step-by-step explanation:

Determine Jordan's wage before the promotion (Let's say it was $8 per hour)Find out Jordan and Serena's current wage (Let's say it's $12 per hour, since they are earning the same amount)Subtract Jordan's old wage from his new wage ($12 - $8 = $4) to find out how much more he earns per hour now.

This is a mathematical problem dealing with subtraction to figure out the increase in wages.

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which is cheaper for a 65$ item that costs $7 .25 to ship?
A 10% coupon off the cost of the item or free shipping?

Answers

I am going to say the cheapest would be 65$ would be the answer. Because if you want it to be shipped too you would add 7.25$ to 65$ to what you are paying for. And taking 10 dollars off (subtracting) you would get 62.25$ But if you would take 65$ from you buying it and used the coupon you would have to pay 55$ The cheapest way is to buy that item (the item costs 65$) and use the 10% off coupon.

Last Saturday, the MoviePlex theater sold 1,456 tickets. The theater sold 6 times as many regular-price tickets as it sold discount tickets. Earl says that the expression 1,456÷6 gives the number of discounts. Is Earl correct? If not, write the correct expression and explain. please

Answers

no because it is 1456 times 6 

Using Hooke's law, F spring=k delta x, find the distance a spring with an elastic constant of 4 N/cm will stretch if a 2 newton force is applied to it.
A.) 2 cm
B.) 1/2 cm
C.) 4 cm
D.) 8 cm

Answers

Hello!

Using Hooke's law, F spring=k delta x, find the distance a spring with an elastic constant of 4 N/cm will stretch if a 2 newton force is applied to it.

Data:

Hooke represented mathematically his theory with the equation:

F = K * Δx  

On what:

F (elastic force) = 2 N

K (elastic constant) = 4 N/cm

Δx (deformation or elongation of the elastic medium or distance from a spring) = ?

Solving:

[tex]F = K * \Delta{x}[/tex]

[tex]2\:N = 4\:N/cm*\Delta{x}[/tex]

[tex]4\:N/cm*\Delta{x} = 2\:N[/tex]

[tex]\Delta{x} = \dfrac{2\:\diagup\!\!\!\!\!N}{4\:\diagup\!\!\!\!\!N/cm}[/tex]

simplify by 2  

[tex]\Delta{x} = \dfrac{2}{4}\frac{\div2}{\div2}[/tex]

[tex]\boxed{\boxed{\Delta{x} = \dfrac{1}{2}\:cm}}\Longleftarrow(distance)\end{array}}\qquad\checkmark[/tex]

Answer:  

B.) 1/2 cm

_______________________  

I Hope this helps, greetings ... Dexteright02! =)

Johan's house and his grandparents house are 8.046.72 meters apart.what is this distance in miles

Answers

the answer is 500. I got this off google, so i apoligize if i got this wrong
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