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 the summer?
To find the water level at the end of the summer, we need to calculate the total drop in meters from the start of the summer to the end of the summer.
The water level at the start of the summer is 1 1/2 meters below sea level.
During the summer, the river drops another 2 1/3 meters below sea level.
To find the total drop, we add these two drops together:
1 1/2 + 2 1/3
First, we need to get the denominators the same:
1 3/6 + 2 2/6
Next, we add the whole numbers:
3 + 2 = 5
Finally, we add the fractions:
3/6 + 2/6 = 5/6
The total drop in meters from the start of the summer to the end of the summer is 5 5/6 meters below sea level.
To find the water level at the end of the summer, we need to add the initial water level (1 1/2 meters below sea level) and the drop during the summer (2 1/3 meters below sea level).
First, let's convert both fractions to have the same denominator:
1 1/2 = 3/2 meters below sea level
2 1/3 = 7/3 meters below sea level
Now, let's add the levels:
3/2 + 7/3 = (9/6) + (14/6) = 23/6 meters below sea level
Therefore, the water level at the end of the summer is 23/6 meters below sea level.
To find the water level at the end of the summer, we need to add up the initial water level below sea level (1 1/2 meters) and the additional drop of the river during the summer (2 1/3 meters).
First, we need to convert the mixed numbers to improper fractions for easier calculations.
The initial water level below sea level is 1 1/2 meters, which is the same as 3/2 meters.
The additional drop during the summer is 2 1/3 meters, or 7/3 meters.
To add these fractions, we need a common denominator. The least common multiple of 2 and 3 is 6.
Now let's add the fractions:
3/2 meters + 7/3 meters
To add fractions with different denominators, we first need to find a common denominator.
3/2 = 9/6, since 2 multiplied by 3 is 6.
7/3 = 14/6, since 3 multiplied by 2 is 6.
Now we can add the fractions:
9/6 meters + 14/6 meters = 23/6 meters
Therefore, the water level at the end of the summer is 23/6 meters below sea level.
To convert it back to a mixed number, we divide the numerator (23) by the denominator (6), which gives us 3 with a remainder of 5.
So the water level at the end of the summer is 3 5/6 meters below sea level.