What is the sum?

seven-thirds plus negative three-eighths

To find the sum of seven-thirds and negative three-eighths, we need to convert both fractions to have the same denominator.

The least common multiple (LCM) of 3 and 8 is 24.

Converting seven-thirds to have a denominator of 24:
(7/3) * (8/8) = 56/24

Converting negative three-eighths to have a denominator of 24:
(-3/8) * (3/3) = -9/24

Now that both fractions have the same denominator, we can add them:
56/24 + (-9/24) = 47/24

Therefore, the sum of seven-thirds and negative three-eighths is 47/24.

To find the sum of seven-thirds and negative three-eighths, we need to convert the fractions to have the same denominator.

First, let's convert seven-thirds to the same denominator as three-eighths:
- Multiply the numerator and denominator of seven-thirds by 8:
(7/3) * (8/8) = 56/24

Now that both fractions have the same denominator, we can add them together:
56/24 + (-3/8) = (56 - 9) / 24 = 47/24

Therefore, the sum of seven-thirds and negative three-eighths is 47/24.