How does dividing mixed number compare with dividing fractions?

1 answer:

5 0

Dividing mixed numbers is when you take a mixed number divided by a mixed number and make then fractions. Here's an example:
(Example)~5 1/5 divided by 3 1/3
5x5=25+1=26. 26/5
3x3=9+1=10/3
26/5 divided by 10/3= 26/5 multiplied by 3/10= 78/50
Dividing Fractions is when you turn 2 fractions and make them into a multiplication problem. Here's an example:
(Example)~ 2/3 divided by 4/8
2/3 multiplied by 8/4
2/3 x 8/4= 16/12~ Which turns into 1 4/12

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igomit [66]

Answer: y=1/2x+5/2

Step-by-step explanation:

y-3=1/2 (x-1)

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mars1129 [50]

Hi there,
This is the original inequality equation:
$\frac{x}{x+1} \ \textless \ \frac{x}{x-1}$
So, we first need to find the critical points of equality, and we can do that by switching the less than sign to an equal sign.
$\frac{x}{x+1} = \frac{x}{x-1}$
Now, we multiply both sides by x + 1:
$x= \frac{x^{2} +x}{x-1}$
Then, we multiply both sides by x - 1:
$x^{2} -x= x^{2} +x$
Next, we subtract x² from both sides:
$-x=x$
After that, we solve for x. We do this by adding -x to both sides and dividing by 2. Doing so gives us x = 0, which is our first critical point. We need to find a few more critical points by testing x = -1 and x = 1. Here is how we do that:
x = −1 (Makes left denominator equal to 0)x = 1 (Makes right denominator equal to 0)Check intervals in between critical points. (Test values in the intervals to see if they work.)x <−1 (Doesn't work in original inequality)−1 < x <0 (Works in original inequality)0 < x < 1 (Doesn't work in original inequality)x > 1 (Works in original inequality)
Therefore, the answer to your query is -1 < x < 0 or x > 1. Hope this helps and have a phenomenal day!

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