Question

9 2/7-(x+2,25)=2 5/28

Answer 1

9 2/7 -х-2,25=2 5/28
х=9 2/7+2 1/4-2 5/28
х=262/28=131/14=9 5/14

Answer 2

To solve the equation 9 2/7 - (x + 2.25) = 2 5/28, we can follow these steps:

Step 1: Convert mixed numbers to improper fractions. 9 2/7 = (7 * 9 + 2) / 7 = 65/7 2 5/28 = (28 * 2 + 5) / 28 = 61/28

Step 2: Rewrite the equation with the converted fractions. 65/7 - (x + 2.25) = 61/28

Step 3: Simplify the equation. 65/7 - x - 2.25 = 61/28

Step 4: Combine the fractions on the left side. [(65/7) * 4 - (x + 2.25) * 28] / 28 = 61/28

Step 5: Simplify the equation further. [260/7 - 28x - 63] / 28 = 61/28

Step 6: Multiply both sides of the equation by 28 to eliminate the denominators. 260/7 - 28x - 63 = 61

Step 7: Combine like terms. 260/7 - 28x = 61 + 63 260/7 - 28x = 124

Step 8: Move the constant term to the right side. 260/7 - 124 = 28x

Step 9: Simplify. (260 - 124 * 7) / 7 = 28x

Step 10: Simplify further. (260 - 868) / 7 = 28x (-608) / 7 = 28x -608 / 7 = 28x

Step 11: Divide both sides by 28. -608 / (7 * 28) = x

Step 12: Simplify. -608 / 196 = x

Step 13: Reduce the fraction if possible. -152/49 = x

Therefore, the solution to the equation 9 2/7 - (x + 2.25) = 2 5/28 is x = -152/49.