1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaVladis [17]
3 years ago
7

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

Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0
Infinitely many ways! 
Suppose you have the fraction 2/d.

<span>Pick </span>any<span> pair of integers a and b where b ≠ 0.</span>
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

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

<span>Since a and b were chosen arbitrarily, there are infinitely many possible answers to the question.</span>
You might be interested in
If Q is the midpoint of PR, and PQ = 2x + 3 and QR = 3x– 2, find x, PQ, QR, and PR.
leva [86]
Since they tell us that Q is the midpoint you now understand that the line is split evenly.
PQ=QR
 2x+3=3x-2
 2x+5=3x
 x=5.
8 0
3 years ago
Which expression can you use to find 16÷4/5?
Archy [21]

16÷4/5 is 0.8

Step-by-step explanation:

i did it in a computer

5 0
3 years ago
Find the indicated term of the given arithmetic sequence. a1=45, d= -3, n=10
klasskru [66]

In this sequence, we're given the first term, which is 45.

The difference between each term is -3, which means 3 will be subtracted in each term.

We're asked to find the value of the tenth term, and we can do so by using this formula:

a(n) = a(1) + d(n - 1)

Replace values.

a(10) = 45 + -3(9)

a(10) = 18

<h3>The value of the tenth term is 18.</h3>
3 0
3 years ago
Read 2 more answers
A person travels for 1 hour and then stops for 10 minutes. The person then travels for 2 hours, then stops for 10 minutes; trave
Tpy6a [65]
The average rate of speed is 51 mph
3 0
3 years ago
Luke correctly graphs the fundamental period of the function f(x)=sinx.
aleksandrvk [35]

Answer:

Period is 2pi

Y- intercept is (0,0)

For points, use the last option

6 0
3 years ago
Read 2 more answers
Other questions:
  • A pair of equations is shown below:
    9·1 answer
  • Find two points on the x-axis that are 13 units from (2, 12).​
    7·1 answer
  • Keisha has one penny, one nickel, and one dime in her pocket. She randomly takes on coin out of her pocket. Without putting it b
    15·1 answer
  • Question 9
    8·1 answer
  • What is the value of the function, then determine if the graph opening up or down f(x)=-5(x+7)^2+6?
    14·1 answer
  • -1(-9) <br> What Is the results
    6·2 answers
  • 61,57,52,57,54 whats the median
    9·1 answer
  • One employee earns a weekly salary of $428, and another works hourly,earning $15 per hour. How many hours does the hourly employ
    9·1 answer
  • Luke invested $2400 in two accounts. The first account pays 3% simple interest. The second account pays 3% compound interest wit
    14·1 answer
  • A puppy's weight increases by 15% each week for the first 6 months. The puppy currently weighs 3.7 pounds. Which expression will
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!