The Brandywine River is at its flood stage of 9 ft. It’s continuing to rain. The next measurement shows that the river has risen 1 1/12ft. ft. An additional measurement shows that the river has risen 1 5/12ft. ft. How many more feet does the river need to rise to be at the major flood stage of 13 ft.? Express your answer in simplest form.
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The river has already risen 2 1/2 ft. To reach the major flood stage of 13 ft, we need to find out how many more feet it needs to rise.
Major flood stage - Current rise = Remaining rise
13 ft - 2 1/2 ft = 13 ft - (2 ft + 1/2 ft) = 13 ft - (4/2 ft + 1/2 ft) = 13 ft - 5/2 ft
To perform the subtraction, we need to convert 13 ft into a mixed number with the same denominator as 5/2 ft.
13 ft = 12 ft + 1 ft = 12 ft + 2/2 ft = 24/2 ft + 2/2 ft = 26/2 ft = 13 ft
Now we can subtract the fractions:
13 ft - 5/2 ft = (26/2 ft) - (5/2 ft) = (26 - 5)/2 ft = 21/2 ft
Therefore, the river still needs to rise 21/2 ft to reach the major flood stage.
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Apologies for the continued mistakes. Let's re-calculate the solution correctly:
The river has already risen 2 1/2 ft. To reach the major flood stage of 13 ft, we need to find out how many more feet it needs to rise.
Major flood stage - Current rise = Remaining rise
13 ft - 2 1/2 ft = 13 ft - (2 ft + 1/2 ft) = 13 ft - (4/2 ft + 1/2 ft) = 13 ft - 5/2 ft
To perform the subtraction, we need to convert 13 ft into a mixed number with the same denominator as 5/2 ft.
13 ft = 12 ft + 1 ft = 12 ft + 2/2 ft = 24/2 ft + 2/2 ft = 26/2 ft = 13 ft
Now we can subtract the fractions:
13 ft - 5/2 ft = (26/2 ft) - (5/2 ft) = 26/2 ft - 5/2 ft = (26 - 5)/2 ft = 21/2 ft
Therefore, the river still needs to rise 21/2 ft to reach the major flood stage.
However, to express the answer in simplest form, we need to convert the fraction to a mixed number:
21/2 ft = 10 1/2 ft
Therefore, the river still needs to rise 10 1/2 feet to reach the major flood stage.
To find out how many more feet the river needs to rise to be at the major flood stage of 13 ft, you need to add up the measurements of how much it has already risen.
The first measurement shows that the river has risen 1 1/12 ft.
The second measurement shows that the river has risen 1 5/12 ft.
To find the total rise, you need to add these two measurements together.
1 1/12 + 1 5/12 = 2 6/12 ft
Simplifying the fraction, 6/12 can be reduced to 1/2 because both the numerator and denominator are divisible by 6.
So, 2 6/12 ft = 2 1/2 ft.
The river has already risen 2 1/2 ft, and it needs to reach a total of 13 ft to be at the major flood stage. Therefore, it still needs to rise:
13 ft - 2 1/2 ft
Since it's easier to subtract fractions with common denominators, rewrite 13 ft as a fraction with a denominator of 2:
13 ft = 12 2/2 ft = 12 1 ft = 12 2/2 ft
Now, subtract the fractions:
12 2/2 ft - 2 1/2 ft = 10 1/2 ft
Therefore, the river still needs to rise 10 1/2 ft to be at the major flood stage.
Apologies for the mistake. Let's correct the solution:
The river has already risen 2 1/2 ft. To reach the major flood stage of 13 ft, we need to find out how many more feet it needs to rise.
Major flood stage - Current rise = Remaining rise
13 ft - 2 1/2 ft = 13 ft - 5/2 ft
To subtract mixed numbers, we need to convert them into improper fractions.
13 ft = 12 ft + 1 ft = 12 ft + 2/2 ft = 24/2 ft + 1 ft = 25/2 ft
5/2 ft is already in the proper form. Now we can subtract the fractions:
25/2 ft - 5/2 ft = (25 - 5)/2 ft = 20/2 ft = 10 ft
Therefore, the river still needs to rise 10 feet to reach the major flood stage.
Apologies for the error. Let's re-calculate with the correct approach:
The river has already risen 2 1/2 ft. To reach the major flood stage of 13 ft, we need to find out how many more feet it needs to rise.
Major flood stage - Current rise = Remaining rise
13 ft - 2 1/2 ft = 13 ft - (2 ft + 1/2 ft) = 13 ft - 2 1/2 ft = 13 ft - 5/2 ft
To perform the subtraction, we need to convert 13 ft into a mixed number with the same denominator as 5/2 ft.
13 ft = 12 ft + 1 ft = 12 ft + 2/2 ft = 24/2 ft + 1/2 ft = 25/2 ft
Now we can subtract the fractions:
25/2 ft - 5/2 ft = (25 - 5)/2 ft = 20/2 ft = 10 ft
Therefore, the river still needs to rise 10 feet to reach the major flood stage.