Question

116/125(41/125-x)=94/125

Answer 1

41/125-х=47/58
-х=47/58-41/125
-х=3497/7250
х=-3497/7250
Это если дроби

Answer 2

To solve the equation (116/125)(41/125 - x) = 94/125 for x, you can follow these steps:

1. Start by multiplying both sides of the equation by 125 to get rid of the fractions:

   (125/125)(116/125)(41/125 - x) = (94/125)(125)

2. Simplify the equation:

   (116/125)(41/125 - x) = 94

3. Now, distribute (116/125) to both terms inside the parentheses:

   (116/125)(41/125) - (116/125)x = 94

4. Multiply the fractions:

   (4716/15625) - (116/125)x = 94

5. Now, subtract (4716/15625) from both sides of the equation to isolate the term with x:

   • (116/125)x = 94 - 4716/15625

6. Find a common denominator for 94 and 4716/15625, which is 15625:

   • (116/125)x = (94 * 15625 - 4716) / 15625

7. Calculate the right-hand side:

   • (116/125)x = (1468750 - 4716) / 15625

   • (116/125)x = 1464034 / 15625

8. Now, divide both sides by (-116/125) to solve for x:

   x = (1464034 / 15625) / (-116/125)

9. To simplify the division, multiply by the reciprocal of (-116/125), which is (-125/116):

   x = (1464034 / 15625) * (-125/116)

10. Calculate the final value of x:

x ≈ -65.995

So, the solution to the equation is approximately x ≈ -65.995.