How much less than 6 is the sum of 2 3/4 and 2 4/5

Answer 1

To find out how much less than 6 is the given sum, we first need to calculate the sum of 2 3/4 (which can be written as a mixed number as 11/4) and 2 4/5 (which can be written as a mixed number as 14/5):

11/4 + 14/5

To add these fractions, we need to find a common denominator:
The least common multiple of 4 and 5 is 20.

11/4 = 55/20 (by multiplying both the numerator and the denominator by 5)
14/5 = 56/20 (by multiplying both the numerator and the denominator by 4)

Now we can add the fractions:

55/20 + 56/20 = 111/20

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1:

111/20

Now, to find out how much less than 6 is this sum, we subtract it from 6:

6 - 111/20

To subtract fractions with the same denominator, we can simply subtract the numerators:

6 - 111/20 = (120/20) - (111/20) = 9/20

Therefore, the sum of 2 3/4 and 2 4/5 is 9/20 less than 6.