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3 years ago

11

3/4+5/6 divided by 2/3 in simplest form show work, please! Thanks!

1 answer:

Nuetrik [128]3 years ago

3 0

Answer:

2 $\frac{3}{8}$

Step-by-step explanation:

3/4 + 5/6 (lowest common denominator = 12)

= 9/12 + 10/12

= 19/12

19/12 ÷ 2/3 (reciprocate 2/3 to replace division sign by multiplication sign)

= 19/12 x 3/2

= 57/24

= 19/8

= 2 $\frac{3}{8}$

Hope this helps :)

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Artemon [7]

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The coordinates of $M$ are $x = \frac{15}{2}$ and $y = 1$ .

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Let be $A = (-3,-6)$ and $B = (12, 4)$ endpoints of segment AB and $M$ a point located 7/10 the way from A to B. Vectorially, we get this formula:

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By Linear Algebra we get the location of $M$ :

$\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)$

$\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A$

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$\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)$

$\vec M = \left(-\frac{9}{10},-\frac{9}{5} \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)$

$\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5} \right)$

$\vec M = \left(\frac{15}{2} ,1\right)$

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