Question

(Х -3 5/8)+4 5/6=6 1/3 розвязати рівняння 6

Answer 1

Надеюсь помогла.......

Answer 2

To solve the equation (Х - 3 5/8) + 4 5/6 = 6 1/3, we need to simplify the expressions on both sides and isolate the variable X.

First, let's simplify the expression on the left side of the equation: (Х - 3 5/8) + 4 5/6

To add mixed numbers, we need to convert them into improper fractions: 3 5/8 = (8 * 3 + 5)/8 = 29/8 4 5/6 = (6 * 4 + 5)/6 = 29/6

So the left side of the equation becomes: (X - 29/8) + 29/6

Now, let's simplify the right side of the equation: 6 1/3 = (3 * 6 + 1)/3 = 19/3

The equation now becomes: (X - 29/8) + 29/6 = 19/3

To solve for X, we can start by getting rid of the fractions by finding a common denominator. The least common multiple (LCM) of 8, 6, and 3 is 24.

Multiplying the entire equation by 24, we get: 24(X - 29/8) + 24(29/6) = 24(19/3)

Simplifying the equation further: 24X - 24 * 29/8 + 24 * 29/6 = 24 * 19/3

Combining like terms: 24X - 87/2 + 116 = 152

Now, let's simplify the equation: 24X - 87/2 + 116 = 152

Combining like terms: 24X + 29/2 = 152

To isolate X, we can subtract 29/2 from both sides of the equation: 24X + 29/2 - 29/2 = 152 - 29/2

Simplifying further: 24X = 305/2

To solve for X, we divide both sides by 24: X = (305/2) / 24

Simplifying the right side: X = 305/48

Therefore, the solution to the equation (Х - 3 5/8) + 4 5/6 = 6 1/3 is X = 305/48.