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 final water level at the end of summer, we need to add the initial water level (1 1/2 meters below sea level) to the drop during the summer (2 1/3 meters below sea level).
To add these two values, we need to make the denominators equal. The denominator of 1 1/2 is 2, and the denominator of 2 1/3 is 3. We can convert 1 1/2 to a fraction with denominator 3 by multiplying the whole number (1) by 3 and adding the numerator (1). This gives us 3/2.
Now we can add 3/2 (initial water level) and 2 1/3 (drop during the summer).
3/2 + 2 1/3 = 3/2 + 7/3
To add these fractions, we need to find a common denominator, which is 6. We can convert 3/2 to a fraction with denominator 6 by multiplying the whole number (3) by 2 and adding the numerator (1). This gives us 7/2.
7/2 + 7/3 = 21/6 + 14/6 = 35/6
Therefore, the water level at the end of summer is 35/6 meters below sea level.
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) in fraction form
To find the water level at the end of summer in fraction form, we can add the initial water level (1 1/2 meters below sea level) to the drop during the summer (2 1/3 meters below sea level).
The initial water level can be written as the fraction 3/2, since there are 2 halves in a whole and we have 1 more half.
The drop during the summer can be written as the fraction 7/3, since there are 3 thirds in a whole and we have 2 more thirds.
Now, we can add these fractions:
3/2 + 7/3
To add these fractions, we need to find a common denominator, which is 6. We can multiply 3/2 by 3/3 and 7/3 by 2/2 to get:
9/6 + 14/6
Now we can 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.
thats incorrect
To find the water level at the end of summer, we need to add the current water level (1 1/2 meters below sea level) to the drop in water level during summer (2 1/3 meters below sea level).
To add these two values, we need to convert them to the same units. Let's convert them to improper fractions.
The current water level is 1 1/2 meters below sea level, which can be written as 3/2 meters below sea level.
The drop in water level during summer is 2 1/3 meters below sea level, which can be written as 7/3 meters below sea level.
Now, let's add these two values together:
3/2 + 7/3
To add these fractions, we need to find a common denominator. The common denominator 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
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 summer, we first need to calculate the total drop in water level.
The water level is initially 1 1/2 meters below sea level. The river then drops another 2 1/3 meters below sea level during the summer.
To calculate the total drop, we can add the two drops together:
1 1/2 + 2 1/3
To add these two fractions, they need to have the same denominator. The least common denominator (LCD) of 2 and 3 is 6. We can convert the fractions to have this denominator:
1 1/2 = 3/2
2 1/3 = 7/3
Now we can add the fractions:
(3/2) + (7/3)
To add fractions, we need a common denominator. Since 3 is a factor of 6, we can convert the first fraction:
(3/2) * (3/3) = 9/6
Now we can add the fractions:
(9/6) + (7/3) = (9+7)/6 = 16/6 = 8/3
So, the total drop in water level is 8/3 meters below sea level.
To find the water level at the end of summer, we subtract this drop from the starting water level of 1 1/2 meters below sea level:
1 1/2 - 8/3
To subtract fractions, they need to have the same denominator. The LCD of 2 and 3 is 6. We can convert the fractions to have this denominator:
1 1/2 = 3/2
8/3 = 16/6
Now we can subtract the fractions:
(3/2) - (16/6)
Since we are subtracting a larger fraction from a smaller one, we need to borrow from the whole number:
3/2 = 6/4
Now we can subtract the fractions:
(6/4) - (16/6)
To subtract fractions, we need a common denominator. Since 4 is a factor of 6, we can convert the second fraction:
(16/6) * (2/2) = 32/12
Now we can subtract the fractions:
(6/4) - (32/12) = (18-32)/12 = -14/12 = -7/6
The water level at the end of summer is -7/6 meters below sea level.