What is the sum?
seven-thirds plus negative three-eighths
(1 point)
Responses
sixty-five-twenty-fourths
Image with alt text: sixty-five-twenty-fourths
forty-seven-twenty-fourths
Image with alt text: forty-seven-twenty-fourths
negative four-fifths
Image with alt text: negative four-fifths
negative five-fourths
To find the sum of seven-thirds and negative three-eighths, we need to convert the fractions to have a common denominator.
The least common multiple of 3 and 8 is 24.
To convert seven-thirds to have a denominator of 24, we multiply the numerator and denominator by 8:
7/3 * 8/8 = 56/24
To convert negative three-eighths to have a denominator of 24, we multiply the numerator and denominator by 3:
-3/8 * 3/3 = -9/24
Now, we can add the two fractions together:
56/24 + (-9/24) = 47/24
The sum of seven-thirds plus negative three-eighths is forty-seven-twenty-fourths.
To find the sum of seven-thirds and negative three-eighths, we need to convert both fractions to have a common denominator.
The common denominator of 3 and 8 is 24.
For seven-thirds: Multiply the numerator and denominator by 8 to get 56/24.
For negative three-eighths: Multiply the numerator and denominator by 3 to get -9/24.
Now, we can add these fractions together:
56/24 + (-9/24) = 47/24.
Therefore, the sum of seven-thirds and negative three-eighths is forty-seven-twenty-fourths.