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
pantera1 [17]
3 years ago
6

What is the next fraction sequence? 2/3 , 7/12 , 1/2 5/12 ...

Mathematics
1 answer:
omeli [17]3 years ago
6 0

The next term in this fraction sequence is 1/3.


To find the next term in this sequence, we can start by converting all of the fraction into a common denominator (so we can compare them better). The least common denominator for all of these number is 12. Now we can convert them all to something over 12.


To convert 2/3 to something over 12, we must find what form of one we must multiply 3 (the denominator) by to get 12. 12/3 is 4, so we must multiply by 4/4. This gives us 2/3 = 8/12.


Since 7/12 is already over twelve, we can just leave it alone.


To convert 1/2 to something over 12, we need to find what we have to multiply 2 by to get 12. 12/2 is 6, so now we need to multiply 1/2 by 6/6, which gives us 1/2 = 6/12.


5/12 is already over twelve, so we can just leave it alone.


Now we need to put them back in order. We have:


8/12, 7/12, 6/12, 5/12... Just by looking at them, we can see that the denominators are getting smaller by 1. That means that the next term in the sequence will be less than the previous one by 1/12. What term is less than 5/12 by 1/12? 4/12 is. But, that's not our answer. We can simplify 4/12 to get our answer of 1/3.

You might be interested in
Andrea has 18 yards of fabric how many 4 inch pieces can she cut from her original piece
Nikolay [14]
Andrea can cut 4 1/2 (or 4.5) inch pieces from her original piece.

18/4 = 4.5


Hope this helps!
5 0
3 years ago
Jason and his friends want to go bowling on Friday night. Southgate Bowling Alley charges $30 shoes and $6 per hour to bowl, whi
alekssr [168]

Answer:

2 hours

Step-by-step explanation:

Slope represents the hourly rate.

Constant represents initial price.

y = 30 + 6x \\ y = 36 + 3x \\ 30 + 6x = 36 + 3x \\ 3x = 6 \\ x = 2

3 0
2 years ago
How many discontinuities does the piecewise function have.?
Aleks04 [339]

In piecewise linear functions, the endpoint of one segment and the initial point of the next segment can have the same x-coordinate but a different value of f(x).

Such difference in values is called a step or discontinuity and such a function is called a discontinuous function.

Here in this case, there are 3 discontinuities: x=-3, x=3 and x = 5.

x = -3 because x is smaller than or greater than -3 but not equal.

x = 3 since greater than 3 in one of the inequalities.

x = 5 since x is smaller than 5 in one of the limits.

4 0
3 years ago
Read 2 more answers
What is 7 × 0.057 equal​
Daniel [21]

Answer:

0.399

Step-by-step explanation:

       3 4

    0.057

   x        7

_________

      0.399

3 0
3 years ago
Read 2 more answers
For what values of c does the binomial 5-3c take on a value which is greater than 80?
Ganezh [65]
Answer: c > -25

From the question you can get the equation:
5 - 3c > 80; subtract 5 from both side
-3c > 75; divide -3 from both side
c > -25
So numbers including: -24, -23, -22, -21…
are all numbers that could work
7 0
2 years ago
Other questions:
  • 6. Jack is x years old
    11·1 answer
  • Which expression is equivalent to log c x2-1/5x
    12·2 answers
  • Find the <br> slope of 7y-x=14
    13·2 answers
  • The mathematical expression 2 ∈ V means:
    14·2 answers
  • SOLVE FOR X SHOW YOUR WORK 27+6x=99 X=?
    8·2 answers
  • What is the opposite of |-6|
    8·2 answers
  • Describe a real world situation where you might use the Pythagorean Theorem. Help due today :))
    15·1 answer
  • Simplify 7(2x+5) -4(2x+5)
    8·2 answers
  • Square root of 651245 plz plz my homework ​
    6·2 answers
  • How many cookies did you sell if you sold 320 chocolate cookies and 270 vanilla cookies
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!