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
MrRa [10]
3 years ago
12

Please help!!!!what is the least common denominator of 1/6, 10/11, 5/12?​

Mathematics
1 answer:
Vesna [10]3 years ago
3 0
<h3>Answer: LCM = 132</h3>

===================================================

Work Shown:

LCM = least common denominator

List out the prime factorization of each denominator

  • 6 = 2*3
  • 11 = 1*11
  • 12 = 2*2*3

So we have the list of primes 2,3, and 11 that help form the denominators when we multiply some of them together.

The prime 2 shows up at most twice, so 2*2 = 4 is a factor of the LCM

The prime 3 shows up at most one time, meaning 3 is also a factor

The prime 11 shows up at most one time, so 11 is another factor

Multiply these factors to get 4*3*11 = 12*11 = 132

The LCM is 132

---------------------

Another Approach:

Focus on 1/6 and 10/11 for now. The LCM is 66 because 6*11 = 66. We simply multiply the denominators together. Then we divide over the GCF 1 to get 66/1 = 66.

The LCM of 1/6 and 10/11 is 66

The fractions 1/6 and 10/11 are equivalent to 11/66 and 60/66 respectively

The original list of fractions updates to 11/66, 60/66, 5/12

We've gone from 3 different denominators to now 2 different denominators.

Repeat the steps of multiplying the denominators and dividing by the GCF

66*12 = 792

792/(gcf of 66 and 12) = 792/6 = 132

So the LCM of all the fractions is 132.

You might be interested in
Use deductive reasoning to tell whether each statement is true or false. If it is
kupik [55]


so the answer for this particular question is unknown because I havent done this course before
5 0
3 years ago
Which graph represents a function?
salantis [7]

Answer:

It is the answer closest to the right. The one with a straight line.

Step-by-step explanation:

Because it is a function if there is only one dot per line vertically. The others have either 2 or more dots per line vertically.

7 0
3 years ago
Is 2 yards greater less than equivalent to 5 ft
Setler79 [48]
Hi there.

3 feet = 1 yard;
2 yards = 6 ft; therefore, 2 yards is greater than 5 ft.

I hope this helps!
3 0
3 years ago
What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?
enyata [817]
You forgot to include the given line.

We need the given line to find the slope. The slope of parallel lines are equal. So, the slope of the line of the equation you are looking for is the same slope of the given line.

I can explain you the procedure to help you to find the desired equation:

1) Slope

Remember that the slope-intercept equation form is y = mx + b where m is the slope and b is thye y-intercept.

If you clear y in every equation you get:

a) y = (3/4)x + 17/4 => slope = 3/4

b) y = (3/4)x + 20/4 = (3/4)x + 5 => slope = 3/4

c) y = -(4/3)x - 2/3 => slope = -4/3

d) y = (-4/3)x - 6/3 = (-4/3)x - 2 => slope = -4/3

So, you just have to compare the slope of the given line with the above slopes to see which equations are candidates.

2) Point (-3,2)

You  must verify which equations pass through the point (-3,2).

a) 3x - 4y = - 17

3(-3) - 4(2) =  -17
- 9 - 8 = - 17
- 17 = - 17 => it is candidate

b) 3x - 4y = - 20

- 17 ≠ - 20 => it is not candidate

c) 4x + 3y = - 2

4(-3) + 3(2) = - 2
-12 + 6 = - 2
-6 ≠ -2 => it is not candidate

d) 4x + 3y = - 6

   -6 = - 6 => it is candidate

3) So, the point (-3,2) permits to select two candidates

3x - 4y = - 17, and 4x + 3y = -6.

4) Yet you have to find the slope of the given equation, if it is 3/4 the solutions is the equation 3x - 4y = -17; if it is -4/3 the solution is the equation 4x + 3y = -6.
6 0
3 years ago
Read 2 more answers
Simplify (-2x^3)^2 x y x y^9
nadezda [96]
Answer: 4x^6y^10
Explanation:
(-2x^3)^2 x y x y^10
= 4x^3 x 2 x y^1+9
4x^6 x y^10
= 4x^6y^10

8 0
3 years ago
Other questions:
  • If a person pays a down payment of 2,160 for a veheicle that cost 16,560 for 48 months.How much would the monthly payments be?
    8·2 answers
  • Solve the proportion for the variable given. 4/v+10 - 6/v+6
    11·1 answer
  • the pet store has 8 rabbits for sale. Each morning the owner feeds the rabbits a total of 2 cups of pellets. If each rabbit rece
    12·2 answers
  • Reniel saves 30% of every payback. His paycheck last week was $560. How much did Reniel save last week?
    13·1 answer
  • Problem 9-10 The elongation of a steel bar under a particular tensile load may be assumed to be normally distributed, with a mea
    10·1 answer
  • Which is the correct interpretation of the expression 7 + (-12)
    11·1 answer
  • Which scale factors produce an expansion under a dilation of the original image?
    9·2 answers
  • Estimate the solution for 632.97
    8·1 answer
  • Hii! please help asap. i’ll give brainliest
    5·2 answers
  • i need all of them, if you answer something that isn't the answer/ just farming points you are getting reported
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!