Question

5 4/7+3 6/7= 4 2/11-1 9/11= 6 4/23- (3-2 8/23) +5 16/23=

Answer 1

1) = 9 3/7
2) = 2 4/11
3) = 11 5/23

Answer 2

To solve these arithmetic expressions, we'll perform the operations step by step:

1. Addition: 5 4/7 + 3 6/7 To add mixed numbers, we need to add the whole numbers and the fractions separately: Whole numbers: 5 + 3 = 8 Fractions: 4/7 + 6/7 = (4 + 6)/7 = 10/7

Therefore, 5 4/7 + 3 6/7 = 8 10/7.

2. Subtraction: 4 2/11 - 1 9/11 Again, we'll subtract the whole numbers and the fractions separately: Whole numbers: 4 - 1 = 3 Fractions: 2/11 - 9/11 = (2 - 9)/11 = -7/11

Therefore, 4 2/11 - 1 9/11 = 3 - 7/11 = 2 4/11.

3. Addition and subtraction: 6 4/23 - (3 - 2 8/23) + 5 16/23 First, let's simplify the expression within the parentheses: 3 - 2 8/23 = 3 - (2 + 8/23) = 3 - 2 - 8/23 = 1 - 8/23 = 23/23 - 8/23 = 15/23

Now, let's substitute this back into the original expression: 6 4/23 - (3 - 2 8/23) + 5 16/23 = 6 4/23 - 15/23 + 5 16/23

Next, we'll add and subtract the whole numbers and fractions separately: Whole numbers: 6 + 5 = 11 Fractions: 4/23 - 15/23 + 16/23 = (4 - 15 + 16)/23 = 5/23

Therefore, 6 4/23 - (3 - 2 8/23) + 5 16/23 = 11 5/23.

So the final results are: 5 4/7 + 3 6/7 = 8 10/7 4 2/11 - 1 9/11 = 2 4/11 6 4/23 - (3 - 2 8/23) + 5 16/23 = 11 5/23