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)
The water level is
meters below sea level.
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.
1 1/2 + 2 1/3 = 3/2 + 7/3
To add these fractions, we need to find a common denominator.
The common denominator is 2 x 3 = 6.
Converting the fractions to have a common denominator:
1 1/2 = 3/2
2 1/3 = 7/3
Adding the fractions:
3/2 + 7/3 = (3 x 3)/(2 x 3) + (7 x 2)/(3 x 2)
= 9/6 + 14/6
= 23/6
So, the water level at the end of summer is 23/6 meters below sea level.
To find the water level at the end of the 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 is 1 1/2 meters below sea level.
During the summer, the river drops another 2 1/3 meters below sea level.
To add these two values, we can convert the mixed numbers 1 1/2 and 2 1/3 into improper fractions, and then add them.
1 1/2 = (2*1 + 1)/2 = 3/2
2 1/3 = (3*2 + 1)/3 = 7/3
Now, let's add them:
3/2 + 7/3 = (3*3 + 2*7)/(2*3) = 9/2 + 14/3 = 27/6 + 28/6 = 55/6
Therefore, the water level at the end of summer is 55/6 meters below sea level.