QuestionAugust 19, 2025

12. At the beginning of the day, the stock market goes up 30(1)/(2) points. At the end of the day the stock market goes down 120(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(1)/(2) points. At the end of the day the stock market goes down 120(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(1)/(2) points. At the end of the day the
stock market goes down 120(1)/(4) points. What is
the total change in the stock market from the
beginning of the day to the end of the day?

Solution
4.4(249 votes)

Answer

-89\frac{3}{4} points Explanation 1. Convert mixed numbers to improper fractions 30\frac{1}{2} = \frac{61}{2} and 120\frac{1}{4} = \frac{481}{4}. 2. Find a common denominator The least common multiple of 2 and 4 is 4. Convert \frac{61}{2} to \frac{122}{4}. 3. Calculate total change Subtract the decrease from the increase: \frac{122}{4} - \frac{481}{4} = \frac{-359}{4}. 4. Convert back to mixed number \frac{-359}{4} = -89\frac{3}{4}.

Explanation

1. Convert mixed numbers to improper fractions<br /> $30\frac{1}{2} = \frac{61}{2}$ and $120\frac{1}{4} = \frac{481}{4}$.<br />2. Find a common denominator<br /> The least common multiple of 2 and 4 is 4. Convert $\frac{61}{2}$ to $\frac{122}{4}$.<br />3. Calculate total change<br /> Subtract the decrease from the increase: $\frac{122}{4} - \frac{481}{4} = \frac{-359}{4}$.<br />4. Convert back to mixed number<br /> $\frac{-359}{4} = -89\frac{3}{4}$.
Click to rate:

Similar Questions