Question

4целых3/4-(х-2целых5/8)=3целых5/6

Answer 1

х-2целых5/8= 4целых3/4 - 3целых5/6

х-2целых5/8=11/12

х=2целых5/8 + 3целых11/12

х=6целых13/24

Answer 2

To solve the equation, let's first simplify both sides step by step:

1. Simplify the left-hand side (LHS): 4целых3/4 - (х - 2целых5/8)

The first term on the LHS, 4целых3/4, can be rewritten as an improper fraction: (4 * 4 + 3) / 4 = 19/4.

Next, we'll distribute the negative sign to the second term: -(х - 2целых5/8) = -х + 2целых5/8

So the LHS becomes: 19/4 - (х + 2целых5/8).

2. Now, let's simplify the right-hand side (RHS): 3целых5/6

3целых is equal to 3 * 6 = 18. So, the RHS is: 18/6 + 5/6 = 23/6.

3. Now, the equation becomes: 19/4 - (х + 2целых5/8) = 23/6.

4. Let's find a common denominator for the terms on the LHS, which is 8 * 3 = 24: (19 * 6) / 24 - (х * 3 + 2целых * 3 * 5/8) = 23/6.

5. Continue simplifying: 114/24 - (3х + 30/8) = 23/6.

6. Now, multiply both sides by 24 to eliminate the fraction on the LHS: 24 * (114/24) - 24 * (3х + 30/8) = 24 * (23/6).

The purpose of multiplying by 24 is to clear out the denominators.

7. Further simplification: 114 - 24(3х + 30/8) = 92.

8. Distribute the -24 on the LHS: 114 - (72х + 30) = 92.

9. Now, let's isolate the variable terms: 114 - 30 - 92 = 72х,

52 = 72х.

10. Finally, solve for x: x = 52 / 72,

x = 13 / 18.

So, the solution to the equation is x = 13/18.