Question

2 3/4+2/4=?; 2 3/7-3/7=?; 5 5/6+2/6=?; 3 -1/3=?; 9 7/10+6/10=?; 16/17+11 15/17=?;

Answer 1

2 3/4+2/4=3 1/4; 2 3/7-3/7=2; 5 5/6+2/6=6 1/6; 3 -1/3=2 2/3; 9 7/10+6/10=10 3/10; 16/17+11 15/17=12 14/17

Answer 2

To calculate the given expressions, let's break down each one step by step:

1. 2 + 3/4 + 2/4:

To add fractions, we need to have a common denominator. In this case, both fractions have the same denominator of 4. Adding the numerators, we get:

(3 + 2) / 4 = 5/4

Therefore, 2 + 3/4 + 2/4 = 5/4.

2. 2 + 3/7 - 3/7:

Here, the fractions already have a common denominator, which is 7. Subtracting the numerators, we have:

(3 - 3) / 7 = 0/7

Therefore, 2 + 3/7 - 3/7 = 0/7 = 0.

3. 5 + 5/6 + 2/6:

Once again, we have fractions with a common denominator. Adding the numerators, we get:

(5 + 2) / 6 = 7/6

Therefore, 5 + 5/6 + 2/6 = 7/6.

4. 3 - 1/3:

When subtracting a fraction, we need to have a common denominator. In this case, the denominator of the fraction is already 3. Subtracting the numerators, we have:

3 - 1/3 = 9/3 - 1/3 = 8/3.

Therefore, 3 - 1/3 = 8/3.

5. 9 + 7/10 + 6/10:

The fractions already have a common denominator, which is 10. Adding the numerators, we get:

(7 + 6) / 10 = 13/10.

Therefore, 9 + 7/10 + 6/10 = 13/10.

6. 16/17 + 11 + 15/17:

To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 17 and 1 is 17. Converting the whole number 11 to a fraction with a denominator of 17, we have:

11 = (11 * 17) / 17 = 187/17.

Now, we can add the fractions:

(16/17) + (187/17) + (15/17) = (16 + 187 + 15) / 17 = 218/17.

Therefore, 16/17 + 11 + 15/17 = 218/17.

To summarize:

1. 2 + 3/4 + 2/4 = 5/4 2. 2 + 3/7 - 3/7 = 0 3. 5 + 5/6 + 2/6 = 7/6 4. 3 - 1/3 = 8/3 5. 9 + 7/10 + 6/10 = 13/10 6. 16/17 + 11 + 15/17 = 218/17

If you have any further questions, feel free to ask!