Question

(7/10-2/3)×(1/4+5/6):6 1/2​

Answer 1

Відповідь:1/180

1)7/10-2/3=21/30-20/30=1/30

2)1/4+5/6=6/24+20/24=26/24=13/12=1ціла1/12

3)1/30×1ціла1/2=1/30×13/12=13/360

4)13/360: 6 цілих1/2=13/360:13/2=13/360×2/13=26/4680=

1/180

Answer 2

Ответ:

(7/10-2/3)×(1/4+5/6):6 1/2​= 26/2160

Answer 3

To simplify the expression (7/10 - 2/3) × (1/4 + 5/6) ÷ 6 1/2, follow these steps:

Step 1: Calculate the values inside the parentheses: (7/10 - 2/3) = (21/30 - 20/30) = 1/30 (1/4 + 5/6) = (3/12 + 10/12) = 13/12

Step 2: Multiply the two results from step 1: (1/30) × (13/12) = (1/30) × (13/12) = 13/360

Step 3: Convert 6 1/2 to an improper fraction: 6 1/2 = (2 * 6 + 1)/2 = 13/2

Step 4: Divide the result from step 2 by 6 1/2: (13/360) ÷ (13/2) = (13/360) × (2/13) = (1/30) × (2) = 2/30

Step 5: Simplify the fraction 2/30: 2/30 = 1/15

So, the simplified expression is 1/15.