Question

А) (5/12 х-4/9):2/3=1/18 Б) 2/7 х-3/14 х+5/21 х=26/49

Answer 1

52\42

это ответ первого

Answer 2

Let's solve the given equations step by step:

А) (5/12 х - 4/9) : (2/3) = 1/18

Step 1: Simplify the expression inside the parentheses first. (5/12 х - 4/9) = (5/12 х) - (4/9)

Step 2: Find a common denominator for the fractions in the expression. The common denominator for 12 and 9 is 36.

Step 3: Convert the fractions to have the common denominator. (5/12 х) - (4/9) = (5/12 х) * (3/3) - (4/9) * (4/4) = (15/36 х) - (16/36)

Step 4: Combine the fractions. (15/36 х) - (16/36) = (15 х - 16)/36

Step 5: Now, we can simplify the whole expression: (15 х - 16)/36 : (2/3) = (15 х - 16)/36 * (3/2) = (15 х - 16)/12

Now, we have the equation: (15 х - 16)/12 = 1/18

Step 6: To solve for х, we'll cross-multiply and then isolate х: (15 х - 16) = 1/18 * 12 (15 х - 16) = 2 15 х = 2 + 16 15 х = 18 х = 18/15 х = 6/5

So the solution for А) is х = 6/5.

Б) 2/7 х - 3/14 х + 5/21 х = 26/49

Step 1: Combine the fractions on the left side of the equation. (2/7 х) - (3/14 х) + (5/21 х) = (2/7 - 3/14 + 5/21) х

Step 2: Find a common denominator for the fractions. The common denominator for 7, 14, and 21 is 42.

Step 3: Convert the fractions to have the common denominator. (2/7 - 3/14 + 5/21) = (12/42 - 3/14 + 10/42)

Step 4: Combine the fractions. (12/42 - 3/14 + 10/42) = (12 - 9 + 10)/42 = 13/42

Now the equation becomes: (13/42) х = 26/49

Step 5: To solve for х, we'll isolate х: х = (26/49) * (42/13) х = (2 * 2 * 7 * 3) / (7 * 13) х = 12/13

So the solution for Б) is х = 12/13.