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damaskus [11]
2 years ago
10

What are the steps on finding common denominators. PLEASE HELP

Mathematics
1 answer:
Dmitrij [34]2 years ago
7 0

Step-by-step explanation:

to find a common denominator, you have to find a number that "works" with every other number.

for example, say you have

2/4 and 8/12

First you need to find the common factor between 4 and 12, so list all your fours

4, 8, 12, 16, 20

Now list all your twelves

12, 24, 36, 48, 60

to find the common factor you look at both your list of numbers and find one that's the same, sometimes it takes a long list of numbers to find the common factor, but you will run into one.

So by looking at our list we see that 4 and 12 share the common factor of 12. but since 8/12 already has a denominator of 12, we are going to leave it alone.

now think about what you would multiply 4 by, to get to 12. The answer is

4 x 3 = 12

to make the numerator correct, you multiply it by the same number you did 4, so since your faction is 2/4 you should do 2 x 3 = 6

now you have your answer,

2/4 and 8/12 turns into

6/12 and 8/12

and that's how you find it, let me know if you have questions :)

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The mixed number have to become a improper fraction and then you have to subtract like this.

so 7 7/8 you have to multiply 7 times 8 and then add it by 7 .
You do the same thing with the other mixed number 3 times 4 plus 1 

So the first one is 63/8 - 13/4 =

first the 4 in the 13/8 have to become 8 . so you do 4 times 2 = 8 and multiply the 13 by 2 = 26 .
so equal 

63/8 - 26/8 = then you have to do 63 - 26 = 37 so is 37/8 and then simplify or divide .

when you divide you suppose to get 4 5/8


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Answer:

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Step-by-step explanation:

The solution to a system of equations is the point at which the two lines intersect.  To find this point, first equate the equations and solve for x:

\begin{aligned}y & = y\\-x + 2 & = 3x + 1\\-x+2+x & = 3x+1+x\\2 & = 4x + 1\\2-1 & =4x+1-1\\1 &=4x\\x & =\dfrac14\end{aligned}

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y=3\left(\dfrac14\right)+1=\dfrac74

Therefore, the solution to the system of equations (the point at which the two lines intersect) is:

\left(\dfrac14,\dfrac74\right)

So the description that best describes the solution to the system of equations is:

Line y = -x + 2 intersects line y = 3x + 1

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