Question

(3/7 x - 5/6) * 1 2/13 = 2,5

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the expression (3/7 x - 5/6) * 1 2/13 and find the value that equals 2.5, we can follow these steps:

Step 1: Convert the mixed number 1 2/13 into an improper fraction. 1 2/13 = (13 * 1 + 2) / 13 = 15/13

Step 2: Rewrite the expression using the improper fraction. (3/7 x - 5/6) * 15/13 = 2.5

Step 3: Multiply both sides of the equation by 13 to eliminate the denominator. (3/7 x - 5/6) * 15 = 2.5 * 13

Step 4: Simplify both sides of the equation. 45/7 x - 75/6 = 32.5

Step 5: To eliminate the fractions, we can multiply both sides of the equation by the least common denominator (LCD) of 7 and 6, which is 42. 42 * (45/7 x - 75/6) = 42 * 32.5

Step 6: Simplify both sides of the equation. 6 * 45x - 7 * 75 = 1365

Step 7: Further simplify. 270x - 525 = 1365

Step 8: Add 525 to both sides of the equation. 270x = 1365 + 525

Step 9: Simplify. 270x = 1890

Step 10: Divide both sides of the equation by 270 to solve for x. x = 1890 / 270

Step 11: Simplify the division. x = 7

So, the value of x that makes the expression equal to 2.5 is x = 7.