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Westkost [7]
3 years ago
15

How can 2/3 + 3/12 be rewritten so they can be added?

Mathematics
2 answers:
babymother [125]3 years ago
7 0

Answer:

11/12

Step-by-step explanation:

To rewrite two fractions to add them, you should first look at the denominators, or the bottom numbers. If they aren't the same, you need to find the least common multiple to make them the same.

3 and 12 are our two denominators for this question.

Since these two numbers are not the same, we need to find a number that both work.

We know that 3 goes into 12 four times, because 3 x 4 = 12.

So we can multiply 2/3 by 4/4 to make the denominator become 12.

This looks like this:

\frac{2}{3} * \frac{4}{4} =\frac{8}{12}

Remember, 4/4 equals 1, so we're not changing 2/3, we're just changing how we write it.

Now that we have 8/12, we can add 8/12 to 3/12.

\frac{8}{12} +\frac{3}{12} =\frac{8+3}{12} =\frac{11}{12}

And continue to simplify until you have your answer, 11/12!

Please mark Brainliest! :)

Drupady [299]3 years ago
6 0

well, you can multiply the values to where they are equivalent, so multiply 2/3 by 4 ( both numbers ) so you get 8/12 and 3/12, so, just in case you want POST added, the answer to 2/3 ( 8/12 ) + 3/12 = is 11/12!

Hope this helps, if not, comment below please!!!

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Bingel [31]
It’s B. because the sides are between an angle hopes this helps
5 0
3 years ago
Write the equation of the line that passes through (−3,1) and (2,−1) in slope-intercept form
Alex787 [66]

Answer:

y=-\frac{2}{5}x-\frac{1}{5}

Step-by-step explanation:

The equation of a line is y = mx + b

Where:

  • m is the slope
  • b is the y-intercept

First, let's find what m is, the slope of the line.

Let's call the first point you gave, (-3,1), point #1, so the x and y numbers given will be called x1 and y1.

Also, let's call the second point you gave, (2,-1), point #2, so the x and y numbers here will be called x2 and y2.

Now, just plug the numbers into the formula for m above, like this:

m = -\frac{2}{5}

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-\frac{2}{5}x + b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

  • (-3,1). When x of the line is -3, y of the line must be 1.
  • (2,-1). When x of the line is 2, y of the line must be -1.

Now, look at our line's equation so far: y=-\frac{2}{5}x + b. b is what we want, the --\frac{2}{5} is already set and x and y are just two 'free variables' sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,1) and (2,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want. The answer will be the same:

  • (-3,1). y = mx + b or 1=-\frac{2}{5} * -3 + b, or solving for b: b = 1-(-\frac{2}{5})(-3).b = -\frac{1}{5}.
  • (2,-1). y = mx + b or -1=-\frac{2}{5} * 2 + b, or solving for b: b = 1-(-\frac{2}{5})(2). b = -\frac{1}{5}.

See! In both cases, we got the same value for b. And this completes our problem.

The equation of the line that passes through the points  (-3,1) and (2,-1) is y=-\frac{2}{5}x-\frac{1}{5}

8 0
3 years ago
Which equation has (2, -1) as a solution?
ipn [44]
To find which of the following equations has (2, -1) as a solution, we just need to substitute the x and y values shown in the ordered pair into the equation, and if it simplifies into a true statement, then it will be a solution.

A) y = 2x - 1
-1 = 2(2) - 1
-1 = 4 -1
-1 = 3
Except, -1 ≠ 3, so the answer isn't A.

B) y = x + 3
-1 = 2 + 3 
-1 = 5
Except, -1 ≠ 5, so the answer isn't B either.

C) y = x -3 
-1 = 2-3
-1 = -1
-1 does equal -1, so the answer is C.

Just to be sure, we should make sure that answer D doesn't work either.

D) y = -2x + 1
-1 = -2(2) + 1
-1 = -4 + 1
-1 = -3
-1 doesn't equal -3, so D isn't the answer.

Therefore, the equation that has (2, -1) as a solution is C) y = x - 3.

4 0
3 years ago
The numbers represented by variables a and c are integers.
RSB [31]
I think it’s B because it seems the most accurate
6 0
3 years ago
question add 1 1/3 (−5/6) using the number line. select the location on the number line to plot the sum.
oee [108]

Answer:

Add 11/3+(-5/6)

17/6 it present on number line between

2 and

Step-by-step explanation:

7 0
2 years ago
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