Question

7/10-2/5*(1/4+5/6):6,1/2

Answer 1

1/4 + 5/6 = 3/12 + 10/12 = 13/12
2/5 * 13/12 = 1/5 * 13/6 = 13/30
13/30 : 6,1/2 = 13/30 : 13/2 = 13/30 * 2/13= 1/15
7/10  -  1/15 = 21/30 - 2/30= 19/30

Answer 2

1) 1/4+5/6= 6/24+20/24=26/24=1. 2/24=1. 1/12
2) 2/5* 1. 1/12= 2/5* 13/12= 1/5* 13/6= 13/30
3)13/30:6,12=13/30:6.12/100=13/30:612/100=13/30*100/612=130/1836=65/918
4) 7/10-65/918=3213/4590-325/4590=2888/4590=1444/2295
Ответ:1444/2295

Answer 3

To solve the expression, follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):

Step 1: Simplify the expression inside the parentheses. 1/4 + 5/6 = (6/24) + (20/24) = 26/24

Step 2: Perform the multiplication inside the parentheses. 2/5 * (26/24) = (2 * 26) / (5 * 24) = 52/120

Step 3: Simplify the expression inside the division. 7/10 - 52/120 = (84/120) - (52/120) = 32/120

Step 4: Perform the division. (32/120) ÷ 6 = (32/120) * (1/6) = (32 * 1) / (120 * 6) = 32/720 = 1/22

Step 5: Divide the result by 1/2. 1/22 ÷ 1/2 = 1/22 * 2/1 = 2/22 = 1/11

So, the final result is 1/11.