12. at the beginning of the day, the stock market goes up 30\\frac{1}{2} points. at the end of the day, the…

12. at the beginning of the day, the stock market goes up 30\\frac{1}{2} points. at the end of the day, the stock market goes down 120\\frac{1}{4} points. what is the total change in the stock market from the beginning of the day to the end of the day?

12. at the beginning of the day, the stock market goes up 30\\frac{1}{2} points. at the end of the day, the stock market goes down 120\\frac{1}{4} points. what is the total change in the stock market from the beginning of the day to the end of the day?

Answer

Explanation:

Step1: Convert mixed - numbers to improper fractions

$30\frac{1}{2}=\frac{30\times2 + 1}{2}=\frac{61}{2}$ and $120\frac{1}{4}=\frac{120\times4+1}{4}=\frac{481}{4}$

Step2: Find the net change

The change is the initial increase minus the final decrease. First, make the common denominator for the two fractions. The common denominator of 2 and 4 is 4. So $\frac{61}{2}=\frac{61\times2}{2\times2}=\frac{122}{4}$. The net change is $\frac{122}{4}-\frac{481}{4}=\frac{122 - 481}{4}=\frac{- 359}{4}=-89\frac{3}{4}$

Answer:

$-89\frac{3}{4}$ points