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
6.2×0.03= and tell me how you did it please ​
matrenka [14]

Answer:

0.186

Step-by-step explanation:

       6.2

<u>x    0.0</u><u>3</u>

           6

    1

       6.2

<u>x    0.0</u><u>3</u>     since 6*3=18, we have to carry the 1

        86

     1

       6.2

<u>x    0.0</u><u>3</u>

       186

       6.2

<u>x    0.</u><u>0</u><u>3</u>

        186

         0

       6.2

<u>x    0.</u><u>0</u><u>3</u>

       186

       00

       6.2

<u>x    </u><u>0</u><u>.03</u>

       186

       00

      0

       6.2

<u>x    </u><u>0</u><u>.03</u>

        186

+      00            add the partial products

<u>      0</u><u>0                   </u>

     00186

      6.2

<u>x    0.</u><u>03</u><u>     </u>                   count how many digits are after the decimal point      from each factor =3 and place in product

        186

+      00            

<u>      00                   </u>

     00.186=0.186

<em>answer=0.186</em>

8 0
3 years ago
For question 3, use the Pythagorean Theorem.
Juliette [100K]

Step-by-step explanation:

can't really use the Pythagorean because you don't know this is a right triangle.

use the fact that they are similar

so

3/6 = x/12 where x is FE

cross multiply

6x = 36 therefore FE = 6

then 6/12 = y/9 where y is FD

cross multiply

12y = 54 = 54/12 therefore FD = 4.5

3 0
2 years ago
A spinner is half red and half blue. If you spin the spinner twice, what is the probability that you will get red both times?
Usimov [2.4K]

Answer:  Probability of getting red both times is \frac{1}{4}

Step-by-step explanation:

Since we have given that

A spinner is half red and half blue.

Probability of getting red is given by

\frac{1}{2}

Probability of getting blue is given by

\frac{1}{2}

Since he spins the spinner twice.

Probability that you will get red both times is given by

\frac{1}{2}\times \frac{1}{2}\\\\=\frac{1}{4}

Hence, Probability of getting red both times is \frac{1}{4}

4 0
2 years ago
Momma is a strong, proud person who is not easily intimidated. She addresses Mrs. Flowers as an equal, even though Mrs. Flowers
Diano4ka-milaya [45]

Answer:

This is a <u>Sample Response</u> for the question,"Write four to six sentences describing Momma or Mrs. Flowers. In your analysis, include at least two personality traits of the person. Support your ideas about the individual’s personality traits with evidence from the text."

Your welcome :)

5 0
3 years ago
Read 2 more answers
A high school basketball coach is selecting his team. The minimum and maximum height requirements are as follows:
daser333 [38]

Answer:

B. About 2% of the boys are eligible to be a small forward on the team

Step-by-step explanation:

Recall : 1 feets = 12 inches

Point guard = 6’2" – 6’6" tall = 74 - 78 inches

Mean = 70 ; Standard deviation = 4

Z = (x - mean) / standard

P(x < 74) = (74 - 70) / 4 = 1

P(x < 78) = (78 - 70) / 4 = 2

0.97725 - 0.84134 = 0.13591

Small forward : 6'6" = 78 inches

P(x ≥ 78) = (78 - 70) / 4 = 2

P(z ≥ 2) = 0.02275 = 2.275% about 2%

Centre : 6'8" = 80

P(x ≥ 80) = (80 - 70) / 4 = 2.5

P(z ≥ 2.5) = 0.0062097 = 0.62%

8 0
3 years ago
Other questions:
  • Can someone please help me with this!!!
    9·1 answer
  • Algebra 1. Question 13
    6·1 answer
  • (Read attatchment plz)
    14·1 answer
  • What is equivalent to 5 square root 3
    12·1 answer
  • Given (1, -3) and (5, 1). The slope of the line is . The equation of the line is
    8·1 answer
  • 4. 15% of what number is 30?
    8·1 answer
  • What is y?<br> -74 × y =40
    12·2 answers
  • -5 (x-1)-x+1 = -18 help please​
    5·1 answer
  • Pleaseee help with this! Giving 60 points!
    13·2 answers
  • Three vertices of a parallelogram are (0,6), (1,6), and (9,10). Graph the parallelogram.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!