Question

1)(4/9+1/6)×9/11= 2)8/11×(5/8-3/8)= 3)3/5÷(4/5-1/2)= 4)3/8×(7/12+3/4)= Помогите решить.

Answer 1

1) 1/2
2) 2/11
3)2
4)1/2

Answer 2

1. (4/9 + 1/6) × 9/11

First, we need to find a common denominator for 4/9 and 1/6, which is 18. Then we can convert both fractions:

4/9 = 8/18 1/6 = 3/18

Now we can add them:

8/18 + 3/18 = 11/18

Substituting this back into the original expression:

(11/18) × (9/11)

The 11s cancel out, leaving us with:

(11/18) × (9/1) = 99/18 = 11/2 or 5.5

Therefore, (4/9 + 1/6) × 9/11 = 5.5.

2. 8/11 × (5/8 - 3/8)

5/8 - 3/8 = 2/8 = 1/4

Substituting this back into the original expression:

8/11 × 1/4 = 2/11

Therefore, 8/11 × (5/8 - 3/8) = 2/11.

3. 3/5 ÷ (4/5 - 1/2)

4/5 - 1/2 = 8/10 - 5/10 = 3/10

Substituting this back into the original expression:

3/5 ÷ 3/10

To divide by a fraction, we can multiply by its reciprocal:

3/5 × 10/3 = 2

Therefore, 3/5 ÷ (4/5 - 1/2) = 2.

4. 3/8 × (7/12 + 3/4)

We need to find a common denominator for 7/12 and 3/4, which is 12.

7/12 = 7/12 3/4 = 9/12

Now we can add them:

7/12 + 9/12 = 16/12 = 4/3

Substituting this back into the original expression:

3/8 × 4/3

The 3s cancel out, leaving us with:

(3/8) × (4/1) = 12/8 = 3/2 or 1.5

Therefore, 3/8 × (7/12 + 3/4) = 1.5.