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 below sea level (1 1/2 meters) to the additional drop during summer (2 1/3 meters):
1 1/2 meters + 2 1/3 meters
First, we need to find a common denominator for the fractions involved (2 and 3), which is 6:
1 3/6 meters + 4 2/6 meters
Now, we can add the fractions:
1 3/6 + 4 2/6 = 5 5/6 meters
Therefore, the water level at the end of summer is 5 5/6 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 summer.
The initial water level below sea level is 1 1/2 meters.
During summer, the river drops another 2 1/3 meters below sea level.
To add fractions with different denominators, we need to find a common denominator.
The common denominator for 2 and 3 is 6.
Converting the fractions to have a denominator of 6:
1 1/2 = (6/6) + (3/6) = 9/6 + 3/6 = 12/6
2 1/3 = (6/6) + (2/6) = 12/6 + 2/6 = 14/6
Now, we can add the fractions:
12/6 + 14/6 = (12 + 14)/6 = 26/6
The water level at the end of summer is 26/6 meters below sea level.
Simplifying the fraction:
26/6 = 4 + 2/6 = 4 1/3
Therefore, the water level at the end of summer is 4 1/3 meters below sea level.
To find the water level at the end of summer, we need to subtract the additional drop in the water level during summer from the initial water level below sea level.
The initial water level below sea level is 1 1/2 meters. During the summer, the river drops another 2 1/3 meters below sea level.
To subtract a mixed number, we can convert it to an improper fraction.
1 1/2 can be written as an improper fraction: (2 x 1) + 1 = 3/2
Similarly, 2 1/3 can be written as an improper fraction: (3 x 2) + 1 = 7/3
Now we can subtract the two fractions:
3/2 - 7/3
To subtract fractions, we need a common denominator. In this case, the least common denominator (LCD) is 6.
Multiplying the numerator and denominator of 3/2 by 3:
(3/2) x (3/3) = 9/6
Multiplying the numerator and denominator of 7/3 by 2:
(7/3) x (2/2) = 14/6
Now we can subtract the fractions:
9/6 - 14/6 = (9 - 14)/6 = -5/6
Therefore, the water level at the end of summer is 5/6 meters below sea level.