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.
To find the water level at the end of summer, we need to add the initial drop of 1 1/2 meters and the additional drop of 2 1/3 meters.
1 1/2 + 2 1/3
To add these fractions, we need a common denominator. The common denominator of 2 and 3 is 6.
1 1/2 = 3/2
2 1/3 = 7/3
Now let's find the sum:
3/2 + 7/3
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 6:
3/2 = 9/6
7/3 = 14/6
Now let's 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 simplify this fraction, let's divide the numerator by the denominator:
23 ÷ 6 = 3 remainder 5
So the water level at the end of summer is 3 5/6 meters below sea level.
To find the water level at the end of summer, we need to add the initial water level (1 1/2 meters) to the amount it drops during the summer (2 1/3 meters).
Converting the mixed numbers to improper fractions:
Initial water level: 1 1/2 = (2/2 + 1/2) = 3/2 meters below sea level
Summer drop: 2 1/3 = (6/3 + 1/3) = 7/3 meters below sea level
Adding the fractions:
3/2 + 7/3 = (3*3 + 7*2) / (2*3) = 9/6 + 14/6 = 23/6 meters below sea level.
The water level at the end of summer is 23/6 meters below sea level.