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.
To find the water level at the end of summer, we need to add the initial water level below sea level (1 1/2 meters) to the additional drop during summer (2 1/3 meters below sea level).
Adding the two levels:
1 1/2 + 2 1/3
First, let's convert the mixed numbers to improper fractions:
1 1/2 = (2*1 + 1)/2 = 3/2
2 1/3 = (3*2 + 1)/3 = 7/3
Now, let's add the fractions:
3/2 + 7/3
To add the fractions, we need a common denominator, which is 6:
3/2 * 3/3 = 9/6
7/3 * 2/2 = 14/6
Now, we can add the fractions:
9/6 + 14/6 = 23/6
The water level at the end of summer is 23/6 meters below sea level.
To find the water level at the end of summer, we need to add the initial water level below sea level to the drop in water level during the summer.
The initial water level below sea level is 1 1/2 meters.
The drop in water level during the summer is 2 1/3 meters.
To add these two values, we need to convert the mixed numbers to improper fractions:
1 1/2 = (1 * 2 + 1)/2 = 3/2
2 1/3 = (2 * 3 + 1)/3 = 7/3
Now, we can add the fractions:
3/2 + 7/3 = (3 * 3 + 2)/(2 * 3) + 7/3
= 11/6 + 7/3
= (11 + 14)/6
= 25/6
Therefore, the water level at the end of summer is 25/6 meters below sea level.