stock market. at the beginning of the day the stock market goes down 50\\frac{1}{4} points and stays at this…

stock market. at the beginning of the day the stock market goes down 50\\frac{1}{4} points and stays at this level for most of the day. at the end of the day the stock market goes up 80\\frac{1}{2} 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?\nthe total change in the stock market is (square) points.\n(type an integer, proper fraction, or mixed number)

stock market. at the beginning of the day the stock market goes down 50\\frac{1}{4} points and stays at this level for most of the day. at the end of the day the stock market goes up 80\\frac{1}{2} 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?\nthe total change in the stock market is (square) points.\n(type an integer, proper fraction, or mixed number)

Answer

Answer:

$30\frac{1}{4}$

Explanation:

Step1: Convert mixed - numbers to improper fractions

$50\frac{1}{4}=\frac{50\times4 + 1}{4}=\frac{201}{4}$ and $80\frac{1}{2}=\frac{80\times2+1}{2}=\frac{161}{2}$

Step2: Calculate the net change

The market goes down by $\frac{201}{4}$ points and then up by $\frac{161}{2}$ points. The net change is $\frac{161}{2}-\frac{201}{4}$. Find a common denominator, which is 4. So $\frac{161}{2}=\frac{161\times2}{2\times2}=\frac{322}{4}$. Then $\frac{322}{4}-\frac{201}{4}=\frac{322 - 201}{4}=\frac{121}{4}=30\frac{1}{4}$