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. answer is in rational numbers
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) and the additional drop during the summer (2 1/3 meters).
Step 1: 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
Step 2: Add the fractions:
3/2 + 7/3
To add fractions, we need a common denominator. In this case, the common denominator is 2*3 = 6.
Step 3: Find the common denominator:
(3/2)*(3/3) + (7/3)*(2/2) = 9/6 + 14/6
Step 4: Add the fractions:
9/6 + 14/6 = 23/6
Therefore, 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 and the drop in water level during the summer.
The initial water level is 1 1/2 meters below sea level, which can be written as -1 1/2.
Next, we need to add the drop during the summer, which is 2 1/3 meters below sea level, or -2 1/3.
To add these two numbers, we can convert them to improper fractions and then add:
-1 1/2 = -3/2
-2 1/3 = -7/3
Now we can add the fractions:
-3/2 + (-7/3) = (-3*3)/(2*3) + (-7*2)/(3*2)
= -9/6 + (-14/6) = -23/6
Therefore, the water level at the end of summer is -23/6 meters below sea level.