How much less than 6 is the sum of 2 3/4 and 2 4/5
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.
To find out how much less than 6 is the sum of 2 3/4 and 2 4/5, we first need to find the sum of the two fractions.
Step 1: Convert the mixed numbers into improper fractions.
2 3/4 = (2 * 4 + 3) / 4 = 11/4
2 4/5 = (2 * 5 + 4) / 5 = 14/5
Step 2: Find the sum of the fractions.
11/4 + 14/5
To add these fractions, we need to find a common denominator, which is the least common multiple of 4 and 5, which is 20.
Step 3: Find the equivalent fractions with the common denominator.
11/4 = (11 * 5) / (4 * 5) = 55/20
14/5 = (14 * 4) / (5 * 4) = 56/20
Step 4: Add the equivalent fractions.
55/20 + 56/20 = (55 + 56) / 20 = 111/20
Step 5: Determine how much lesser the sum is than 6.
6 - 111/20
To subtract a fraction from a whole number, we need to express the whole number as a fraction with the same denominator.
Step 6: Convert 6 into a fraction with denominator 20.
6 = 6/1
= (6 * 20) / (1 * 20)
= 120/20
Step 7: Subtract the fractions.
120/20 - 111/20 = (120 - 111) / 20 = 9/20
Therefore, the sum of 2 3/4 and 2 4/5 is 9/20 less than 6.
To find the answer, we need to calculate the sum of \(2 \frac{3}{4}\) and \(2 \frac{4}{5}\), and then determine how much less it is than 6.
First, let's convert the mixed numbers into improper fractions:
\(2 \frac{3}{4}\) is equal to \(\frac{11}{4}\).
\(2 \frac{4}{5}\) is equal to \(\frac{14}{5}\).
Next, let's find the sum of these fractions:
\(\frac{11}{4} + \frac{14}{5}\)
To add fractions, we need a common denominator. In this case, the least common multiple of 4 and 5 is 20.
So, let's convert the fractions to have a denominator of 20:
\(\frac{11}{4} = \frac{55}{20}\) (since \(5 \times 4 = 20\))
\(\frac{14}{5} = \frac{56}{20}\) (since \(4 \times 5 = 20\))
Now, we can add the fractions:
\(\frac{55}{20} + \frac{56}{20} = \frac{111}{20}\)
To determine how much less than 6 this sum is, we subtract it from 6:
\(6 - \frac{111}{20}\)
To subtract fractions, we also need a common denominator. In this case, it is 20. We can rewrite 6 as \(\frac{120}{20}\):
\(\frac{120}{20} - \frac{111}{20} = \frac{120 - 111}{20} = \frac{9}{20}\)
Therefore, the sum of \(2 \frac{3}{4}\) and \(2 \frac{4}{5}\) is \(\frac{9}{20}\), which is \(\frac{9}{20}\) less than 6.