Question

3 3/11:(x-2)=1 77/22:(-1 5/8)

Answer 1

Ответ:

33/11 ÷ (х-2)=177/22÷(-1,5/8),х не дорівнює 2

3/х-2=177/22÷(-0,1875)

3/х-2=177/22÷(3/16)

3/×-2=177/22÷3/16

3/×-2=-472/11

33=-472(×-2)

33=-472×+944

472×=944-33

472×=911; ×=911/472;× не дорівнює 2

×=911/472

× наближено дорівнює 1,93

Answer 2

To solve the equation 3 3/11:(x-2) = 1 77/22:(-1 5/8), we need to perform the division operations and simplify the expression. Let's break it down step by step:

Step 1: Convert the mixed numbers into improper fractions: 3 3/11 = (33 + 3)/11 = 36/11 1 77/22 = (22 + 77)/22 = 99/22 -1 5/8 = (-8 - 5)/8 = -13/8

Step 2: Rewrite the equation using the fraction notation: 36/11 : (x - 2) = 99/22 : (-13/8)

Step 3: Invert the divisor and change the division operation to multiplication: 36/11 * (x - 2) = 99/22 * (-8/13)

Step 4: Simplify the fractions: 36/11 * (x - 2) = -792/286

Step 5: Cross-multiply: 36 * (x - 2) = -792 * 11

Step 6: Solve for x: 36x - 72 = -8712

Step 7: Add 72 to both sides of the equation: 36x = -8712 + 72 36x = -8640

Step 8: Divide both sides by 36 to isolate x: x = -8640/36 x = -240

Therefore, the solution to the equation 3 3/11:(x-2) = 1 77/22:(-1 5/8) is x = -240.