Question

stock market. at the beginning of the day the stock market goes down 40\frac{1}{2} points and stays at this level for most of the day. at the end of the day the stock market goes up 90\frac{3}{4} points from the low at the beginning of the day. what is the total change in the stock market from the beginning of the day to the end of the day?

the total change in the stock market is points.
(type an integer, proper fraction, or mixed number)

Explanation:

Step1: Convert mixed - numbers to improper fractions

$40\frac{1}{2}=\frac{40\times2 + 1}{2}=\frac{81}{2}$ and $90\frac{3}{4}=\frac{90\times4+3}{4}=\frac{363}{4}$

Step2: Calculate the net change

The market first goes down by $\frac{81}{2}$ points and then goes up by $\frac{363}{4}$ points. The net change is $\frac{363}{4}-\frac{81}{2}$.
We need a common denominator, which is 4. So $\frac{81}{2}=\frac{81\times2}{2\times2}=\frac{162}{4}$.
Then $\frac{363}{4}-\frac{162}{4}=\frac{363 - 162}{4}=\frac{201}{4}=50\frac{1}{4}$

Answer:

$50\frac{1}{4}$