Answer:
In the three days the Amazon stock share rose by
Step-by-step explanation:
Given:
Amazon stock share
rose 4 and 1/2 points on Wednesday
rose 3 and 3/8 points on Thursday
fell 2 and 1/4 points on Friday
To find the overall change.
Solution:
<em>The change in share on Wednesday is given as =
</em>
<em>The change in share on Thursday is given as =
</em>
<em>The change in share on Friday is given as =
</em>
Thus, the over all change is given by:
![4\frac{1}{2}+3\frac{3}{8}-2\frac{1}{4}](https://tex.z-dn.net/?f=4%5Cfrac%7B1%7D%7B2%7D%2B3%5Cfrac%7B3%7D%7B8%7D-2%5Cfrac%7B1%7D%7B4%7D)
<em>In order to combine mixed numbers, we will work the whole numbers and the fractions separately.</em>
⇒ ![(4+3-2)+(\frac{1}{2}+\frac{3}{8}-\frac{1}{4})](https://tex.z-dn.net/?f=%284%2B3-2%29%2B%28%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B3%7D%7B8%7D-%5Cfrac%7B1%7D%7B4%7D%29)
⇒ ![5+(\frac{1}{2}+\frac{3}{8}-\frac{1}{4})](https://tex.z-dn.net/?f=5%2B%28%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B3%7D%7B8%7D-%5Cfrac%7B1%7D%7B4%7D%29)
To combine fractions, we will take least common denominator.
<em>The L.C.D. 2,4 and 8 = 8 as it is the least common multiple for all the denominators</em>
So, we multiply the numerators with the corresponding numbers to make the denominators common.
⇒ ![5+(\frac{1\times 4}{2\times 4}+\frac{3}{8}-\frac{1\times 2}{4\times 2})](https://tex.z-dn.net/?f=5%2B%28%5Cfrac%7B1%5Ctimes%204%7D%7B2%5Ctimes%204%7D%2B%5Cfrac%7B3%7D%7B8%7D-%5Cfrac%7B1%5Ctimes%202%7D%7B4%5Ctimes%202%7D%29)
⇒ ![5+(\frac{4}{8}+\frac{3}{8}-\frac{2}{8})](https://tex.z-dn.net/?f=5%2B%28%5Cfrac%7B4%7D%7B8%7D%2B%5Cfrac%7B3%7D%7B8%7D-%5Cfrac%7B2%7D%7B8%7D%29)
Combining the numerators.
⇒ ![5+\frac{4+3-2}{8}](https://tex.z-dn.net/?f=5%2B%5Cfrac%7B4%2B3-2%7D%7B8%7D)
⇒ ![5+\frac{5}{8}](https://tex.z-dn.net/?f=5%2B%5Cfrac%7B5%7D%7B8%7D)
⇒ ![5\frac{5}{8}](https://tex.z-dn.net/?f=5%5Cfrac%7B5%7D%7B8%7D)
The overall change for the three days can be given as : ![+5\frac{5}{8}](https://tex.z-dn.net/?f=%2B5%5Cfrac%7B5%7D%7B8%7D)
This means the share rose by ![5\frac{5}{8}](https://tex.z-dn.net/?f=5%5Cfrac%7B5%7D%7B8%7D)