Question

 3 2/5+ 4 3/5; 5 - 2/3; 2 3/8 + 5/8; 10 3/7 - 3 5/7; 4 2/4 + 5 3/4; 9 1/8 - 4.

Answer 1

3 2/5+ 4 3/5=8

5 - 2/3=4 1/3

2 3/8 + 5/8=3

10 3/7 - 3 5/7=6 5/7

4 2/4 + 5 3/4=10 1/4

9 1/8 - 4=5 1/8

Answer 2

Let's solve each of these arithmetic expressions step by step:

1. 3 2/5 + 4 3/5: To add mixed numbers, we first add the whole numbers and then add the fractions separately. The whole numbers 3 and 4 add up to 7. The fractions 2/5 and 3/5 have the same denominator, so we can add their numerators: 2 + 3 = 5. Therefore, the result is 7 5/5. However, we can simplify 5/5 to 1, so the final answer is 8.

2. 5 - 2/3: To subtract a fraction from a whole number, we convert the whole number to a fraction with the same denominator as the fraction. In this case, the whole number 5 can be written as 5/1. Now we have 5/1 - 2/3. To subtract fractions, they must have the same denominator. We can convert 5/1 to 15/3 to match the denominator of 2/3. Therefore, the expression becomes 15/3 - 2/3 = 13/3.

3. 2 3/8 + 5/8: Similar to the first example, we add the whole numbers first, which gives us 2 + 0 (since there are no whole numbers in the second term) = 2. Then, we add the fractions: 3/8 + 5/8 = 8/8 = 1. Combining the results, we get 2 1/8.

4. 10 3/7 - 3 5/7: We subtract the whole numbers first: 10 - 3 = 7. Then, we subtract the fractions: 3/7 - 5/7 = -2/7. The result is 7 - 2/7.

5. 4 2/4 + 5 3/4: Adding the whole numbers, we have 4 + 5 = 9. The fractions 2/4 and 3/4 have the same denominator, so we add their numerators: 2 + 3 = 5. Therefore, the result is 9 5/4. However, we can simplify 5/4 to 1 1/4. Combining the results, we get 10 1/4.

6. 9 1/8 - 4: Subtracting the whole numbers, we have 9 - 4 = 5. The fraction 1/8 remains unchanged. Therefore, the result is 5 1/8.

To summarize:

1. 3 2/5 + 4 3/5 = 8
2. 5 - 2/3 = 13/3
3. 2 3/8 + 5/8 = 2 1/8
4. 10 3/7 - 3 5/7 = 7 - 2/7
5. 4 2/4 + 5 3/4 = 10 1/4
6. 9 1/8 - 4 = 5 1/8