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Serhud [2]
2 years ago
5

Convert the following into fractions in their simplest form

Mathematics
1 answer:
sladkih [1.3K]2 years ago
3 0

Answer:

1/10

13/100

4/5

12/25

3/10

63/100

3/5

51/200

2/9

5/11

To prove the last 2 recurring ones:

0.222222... = x

10x = 10 * 0.22222... =  2.222222....

Notice how the decimal part of 10x is the same as for x:

10x - x = 2.2222222... - 0.222222... = 2

10x - x = 9x = 2

x = 2/9

Same procedure for the other one but times by 100 instead:

x = 0.454545...

100x = 45.454545...

100x - x = 45.454545... - 0.454545... = 45

100x - x = 99x = 45

x = 45/99 = 5/11

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SashulF [63]

Answer:

C. y = -\frac{1}{2}x - \frac{7}{2}

Step-by-step explanation:

We can get the equation in slope-intercept form if we know the slope (m) and the y-intercept (b).

Since the line is parallel to -2x + 4y = 8, it will have the same slope as the equation.

Converting -2x + 4y = 8 into the slope-intercept form, we would have:

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Theregore, slope, m, of the line that is parallel bro 4y = -2x + 8 is -½.

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To get the equation of the line, substitute b = -⁷/2, and m = -½ in y = mx + b.

The equation would be:

y = -\frac{1}{2}x - \frac{7}{2}

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3 years ago
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3 years ago
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