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monitta
4 years ago
11

How to find the least common denominator of 3 fractions?

Mathematics
1 answer:
Lina20 [59]4 years ago
3 0

Answer:

  Find the LCD of the first two, then the LCD of that and the third one.

Step-by-step explanation:

You can do it by finding the LCD of two of the denominators, then the LCD of that and the third denominator.

Or, you can factor each of the denominators and find their LCM by multiplying the unique factors to their highest powers.

___

<u>Example:</u>

  1/21 + 1/35 + 1/45

The LCD of 1/21 and 1/35 is (21·35)/5 = 105. The LCD of 1/105 and 1/45 is ...

  (105·45)/15 = 315

__

Using factoring ...

  • 21 = 3·7
  • 35 = 5·7
  • 45 = 3²·5

LCD = 3²·5·7 = 315

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Textbook: Please write as an expression involving functions of Θ alone.
Setler [38]

Step-by-step explanation:

tan(Θ + 30°)

Use angle sum formula:

tan(A + B) = (tan A + tan B) / (1 − tan A tan B)

So we can write this as:

(tan Θ + tan 30°) / (1 − tan Θ tan 30°)

tan 30° = 1/√3, so:

(tan Θ + 1/√3) / (1 − 1/√3 tan Θ)

Multiply top and bottom by √3:

(√3 tan Θ + 1) / (√3 − tan Θ)

6 0
4 years ago
Which expression is equivalent to (4x^3y^5)(3x^5y)^2 ?
barxatty [35]

(3x^5y)^2=

3^2=9

(x^5)^2=x^10

y^2=y^2

(3x^5y)^2=9x^10y^2

9x^10y^2(4x^3y^5)=

9*4=36

x^10*x^3=x^13

y^2*y^5=y^7

9x^19y^2(4x^3y^5)= 36x^13y^7

Final answer: 36x^13y^7

3 0
3 years ago
What two integers are between 26
vagabundo [1.1K]
4 and 5 are two integers between 2 and 6
3 0
3 years ago
Sorry if its blurry im on my laptop
Kamila [148]

Answer:

Step-by-step explanation:

1 in=2 ft

Bedroom 1

scale

17.5 in ×12.5in

actual

(17.5×2)×(12.5×2)

or

35 ft×25 ft

Living Room

scale

17.5 in×17.5 in

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Bathroom 1

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12.5 in×5 in

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6 0
4 years ago
Alex needs 2 meters of sprinkler pipe. He has a pipe that is 89 centimeters long. How much more sprinkler pipe does Alex need?
den301095 [7]

I believe that Alex will need about 3 left because 100 cm= 1 meter. He already has 89 cm of pipe and that means he need 11cm to make it a meter. He needs 111cm left in order to have 2 meters which I beleive is 3 pipes I guess.

I hope this helps. :)

3 0
3 years ago
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