The water level of a river is below normal levels. Its water level is at 1 1/2
meters below sea level. During the summer, the river drops another 2 1/3
meters below sea level. What is the water level at the end of summer? Remember, the elevation is below sea level. Account for this in your answer.(1 point)
To find the water level at the end of summer, we need to add the initial water level of 1 1/2 meters below sea level to the drop of 2 1/3 meters below sea level.
First, let's convert the mixed numbers to improper fractions:
1 1/2 = 3/2
2 1/3 = 7/3
Next, let's find a common denominator to add the fractions.
The least common multiple of 2 and 3 is 6.
Now, let's convert both fractions to have a denominator of 6:
3/2 = 9/6
7/3 = 14/6
Adding the fractions, we have:
9/6 + 14/6 = 23/6
The water level at the end of summer is 23/6 meters below sea level.
However, we need to remember that the answer must account for the fact that the elevation is below sea level. Thus, the water level is -23/6 meters.
To find the water level at the end of summer, we need to calculate the total drop in the water level.
The initial water level is 1 1/2 meters below sea level, and during the summer, it drops another 2 1/3 meters below sea level.
To add or subtract mixed numbers, we need to have a common denominator.
The common denominator for 2 and 3 is 6.
So, we have:
1 1/2 = (3/2 * 6/6) = 9/6
2 1/3 = (7/3 * 2/2) = 14/6
Now, we can subtract the fractions:
Water level drop = 9/6 - 14/6 = -5/6 meters
Therefore, at the end of summer, the water level will be another 5/6 meters below sea level.