Question

Б) (4 7/8+2 5/8) - (5 1/8-3 3/8) а) 10 - (3 5/11+1 8/11) + 4 2/11

Answer 1

1)4ц7/8+2ц5/8=6+12/8=12:8=7ц4/8=7ц1/2
2)5ц1/8-3ц3/8=2+1-3/8=2+-2/8=2*8/8-2/8=16-2/8=14/8=7/4=1ц3/4
3)7ц1/2-1ц3/4=6+1*2/2*2-3/4=6+2/4-3/4=6+(-1/4)-1/4=24-1/4=23/4=5ц3/4

Answer 2

Б) Let's first perform the operations in the parentheses:

1. Add the fractions in the first set of parentheses: 4 7/8 + 2 5/8 = 6 12/8 + 2 5/8 = 8 17/8

2. Subtract the fractions in the second set of parentheses: 5 1/8 - 3 3/8 = 5 1/8 - 3 3/8 = 1 8/8 - 3 3/8 = -2 7/8

Now, subtract the result of the second operation from the result of the first operation:

8 17/8 - (-2 7/8)

To subtract a negative number, you can add its positive counterpart:

8 17/8 + 2 7/8 = 10 24/8 = 10 3/8

So, the answer to (4 7/8 + 2 5/8) - (5 1/8 - 3 3/8) is 10 3/8.

а) Now, let's solve the expression:

10 - (3 5/11 + 1 8/11) + 4 2/11

First, add the fractions in the first set of parentheses:

3 5/11 + 1 8/11 = 4 13/11

Now, substitute this result back into the original expression:

10 - 4 13/11 + 4 2/11

Now, we have two fractions with a common denominator:

10 - (4 13/11) + (4 2/11)

Now, subtract the second fraction from the first fraction:

(10 - 4 13/11) + 4 2/11

To subtract the mixed number, we can convert 10 to an improper fraction:

10 = 11/11 (since 11/11 is equivalent to 1)

Now, we can perform the subtraction:

(11/11 - 4 13/11) + 4 2/11

Now, subtract the fractions:

(11/11 - 4 13/11) = (11/11 - 57/11)

Combine the fractions:

(11 - 57)/11 = -46/11

Now, the expression becomes:

(-46/11) + 4 2/11

Now, add the fractions:

(-46/11) + 4 2/11 = (-46/11 + 4 2/11)

Combine the fractions:

(-46/11 + 46/11) = 0

So, the answer to 10 - (3 5/11 + 1 8/11) + 4 2/11 is 0.