Question

(х+2 1/2):3/8-1,125=227/8

Answer 1

(x+1)*3/8-9/8=227/8
3/8x+3/8-9/8=227/8
3/8x-3/4=227/8
3x-6=227
3x=227+6
3x=233
x=233/3
x=77 2/3
x=77,6

Answer 2

Let's solve the equation step by step:

Given equation: (х + 2 1/2) / (3/8) - 1.125 = 227/8

Step 1: Convert the mixed number to an improper fraction. 2 1/2 = (2 * 2 + 1) / 2 = 5/2

Step 2: Simplify the left-hand side of the equation using the above conversion. (х + 5/2) / (3/8) - 1.125 = 227/8

Step 3: Invert the divisor (3/8) and multiply it with the numerator. (х + 5/2) * (8/3) - 1.125 = 227/8

Step 4: Find a common denominator for the first term (х + 5/2) and combine the fractions. [(8х + 20) / 3] - 1.125 = 227/8

Step 5: Move the constant term (1.125) to the right-hand side of the equation. (8х + 20) / 3 = 227/8 + 1.125

Step 6: Find a common denominator for (227/8) and (1.125) on the right-hand side. (8х + 20) / 3 = (227 + 9) / 8

Step 7: Combine the fractions on the right-hand side. (8х + 20) / 3 = 236 / 8

Step 8: Cross-multiply to eliminate the denominator. 8х + 20 = 3 * 236 / 8

Step 9: Simplify the right-hand side. 8х + 20 = 708 / 8

Step 10: Solve for х. 8х = 708 / 8 - 20

Step 11: Continue simplifying the right-hand side. 8х = 88 - 20

Step 12: Complete the calculation. 8х = 68

Step 13: Finally, solve for х. х = 68 / 8

х = 8.5

So the solution to the equation is х = 8.5.