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? remember, the elevation is 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 (1 1/2 meters) to the additional drop during summer (2 1/3 meters).
First, let's add the fractions:
1/2 + 1/3 = (3/6) + (2/6) = 5/6
Next, let's add the whole numbers and the fraction:
1 1/2 + 2 1/3 = (1 + 2) + 5/6 = 3 + 5/6
Now, let's convert the mixed number to an improper fraction:
3 + 5/6 = 18/6 + 5/6 = 23/6
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 the initial water level below sea level (1 1/2 meters) to the drop during the summer (2 1/3 meters).
To add the fractions, the first step is to have common denominators.
Since the denominators are 2 and 3, the common denominator is 6.
1 1/2 can be rewritten as (3/2) because 1 1/2 = 3/2.
2 1/3 can be rewritten as (7/3) because 2 1/3 = 7/3.
Now, let's add the fractions:
(3/2) + (7/3)
To get the denominator 6, we multiply the numerator and denominator of (3/2) by 3, and multiply the numerator and denominator of (7/3) by 2:
(9/6) + (14/6)
Now, we can add the fractions:
(9/6) + (14/6) = 23/6
The water level at the end of the summer, below sea level, is 23/6 meters.
To find the water level at the end of the summer, we need to subtract the drop in the water level during the summer from the initial water level.
First, let's convert the initial water level from a mixed number to an improper fraction:
1 1/2 = (2 * 1 + 1)/2 = 3/2
Next, let's convert the drop in the water level from another mixed number to an improper fraction:
2 1/3 = (3 * 2 + 1)/3 = 7/3
Now, we can subtract the drop in the water level from the initial water level:
3/2 - 7/3
To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 6:
3/2 = (3 * 3)/(2 * 3) = 9/6
7/3 = (7 * 2)/(3 * 2) = 14/6
Now we can subtract the fractions:
9/6 - 14/6
When the denominators are the same, we can simply subtract the numerators:
(9 - 14)/6 = -5/6
So, the water level at the end of the summer is 5/6 meters below sea level.