Question

In the stock market an amazon stock share rose 4 and 1/2 points on Wednesday rose 3 and 3/8 points on Thursday and fell 2 and 1/4 points on Friday. What was the overall change in the amazon stock share for these three days ?

Answer 1

In the three days the Amazon stock share rose by
`5(5)/(8)`

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:

The change in share on Wednesday is given as =
`+4(1)/(2)`

The change in share on Thursday is given as =
`+3(3)/(8)`

The change in share on Friday is given as =
`-2(1)/(4)`

Thus, the over all change is given by:

`4(1)/(2)+3(3)/(8)-2(1)/(4)`

In order to combine mixed numbers, we will work the whole numbers and the fractions separately.

⇒
`(4+3-2)+((1)/(2)+(3)/(8)-(1)/(4))`

⇒
`5+((1)/(2)+(3)/(8)-(1)/(4))`

To combine fractions, we will take least common denominator.

The L.C.D. 2,4 and 8 = 8 as it is the least common multiple for all the denominators

So, we multiply the numerators with the corresponding numbers to make the denominators common.

⇒
`5+((1* 4)/(2* 4)+(3)/(8)-(1* 2)/(4* 2))`

⇒
`5+((4)/(8)+(3)/(8)-(2)/(8))`

Combining the numerators.

⇒
`5+(4+3-2)/(8)`

⇒
`5+(5)/(8)`

⇒
`5(5)/(8)`

The overall change for the three days can be given as :
`+5(5)/(8)`

This means the share rose by
`5(5)/(8)`