A meteorologist found that the rainfall in Livingston during the first half of the month was 1/2 of an inch. At the end of the month, she found that the total rainfall for the month was 3 1/8 inches. How much did it rain in the second half of the month?
Write your answer as a fraction or as a whole or mixed number.
______ inches
To find out how much it rained in the second half of the month, we can subtract the rainfall for the first half from the total rainfall for the month.
1. Total rainfall for the month: 3 1/8 inches
2. Rainfall in the first half: 1/2 inch
First, we need to convert 3 1/8 inches to an improper fraction for easier calculation:
– 3 1/8 = 3 * 8 + 1 = 25/8 inches
Now, we subtract the rainfall in the first half from the total rainfall:
25/8 – 1/2
To subtract these fractions, we need a common denominator. The least common denominator (LCD) of 8 and 2 is 8. Now, convert 1/2 to have a denominator of 8:
1/2 = 4/8
Now we can perform the subtraction:
25/8 – 4/8 = 21/8 inches
Finally, convert 21/8 back to a mixed number:
21 divided by 8 is 2 with a remainder of 5, so:
21/8 = 2 5/8 inches
Thus, it rained 2 5/8 inches in the second half of the month.
To find out how much it rained in the second half of the month, we need to subtract the rainfall in the first half from the total rainfall for the month.
1. Total rainfall for the month: (3 frac{1}{8}) inches
2. Rainfall in the first half: (frac{1}{2}) inch
First, convert (3 frac{1}{8}) to an improper fraction:
[
3 frac{1}{8} = frac{3 times 8 + 1}{8} = frac{24 + 1}{8} = frac{25}{8}
]
Next, convert (frac{1}{2}) to have a common denominator with (frac{25}{8}):
[
frac{1}{2} = frac{4}{8}
]
Now, subtract the rainfall from the total:
[
frac{25}{8} – frac{4}{8} = frac{21}{8}
]
Now, convert (frac{21}{8}) back to a mixed number:
[
frac{21}{8} = 2 frac{5}{8}
]
So, the rainfall in the second half of the month is (2 frac{5}{8}) inches.
Final Answer: (2 frac{5}{8}) inches.
To find out how much it rained in the second half of the month, we need to subtract the rainfall of the first half from the total rainfall for the month.
1. Total rainfall for the month = 3 1/8 inches.
2. Rainfall in the first half = 1/2 inch.
First, convert the mixed number (3 1/8) into an improper fraction:
– 3 1/8 = (3 × 8 + 1)/8 = 25/8 inches.
Now, subtract the rainfall from the first half (1/2 inch) from the total rainfall:
– Convert 1/2 into a fraction with a denominator of 8: 1/2 = 4/8.
Now perform the subtraction:
[
frac{25}{8} – frac{4}{8} = frac{21}{8}
]
Convert this back into a mixed number:
– 21/8 = 2 5/8 inches.
Therefore, it rained 2 5/8 inches in the second half of the month.
To find out how much it rained in the second half of the month, you can follow these steps:
1. Total Rainfall: The total rainfall for the month is 3 1/8 inches.
2. Rainfall in the First Half: The rainfall in the first half of the month was 1/2 inch.
3. Calculate Rainfall in the Second Half:
[
text{Rainfall in the second half} = text{Total rainfall} – text{Rainfall in the first half}
]
[
= 3 frac{1}{8} – frac{1}{2}
]
4. Convert Mixed Number to Improper Fraction:
[
3 frac{1}{8} = frac{3 times 8 + 1}{8} = frac{25}{8}
]
[
frac{1}{2} = frac{4}{8} quad text{(converting to the same denominator)}
]
5. Perform the Subtraction:
[
frac{25}{8} – frac{4}{8} = frac{21}{8}
]
6. Convert Back to Mixed Number:
[
frac{21}{8} = 2 frac{5}{8}