Question

6 2/3 - х + 1/4 = 2 1/6

Answer 1

X=19/4 альтернативная форма 4,75

Answer 2

To solve the equation, we need to find the value of "x." Let's first convert all the mixed numbers to improper fractions for easier calculation:

6 2/3 can be written as (6 * 3 + 2) / 3 = 20 / 3. 2 1/6 can be written as (2 * 6 + 1) / 6 = 13 / 6.

Now, the equation becomes:

20 / 3 - x + 1 / 4 = 13 / 6.

To solve for "x," we can follow these steps:

Step 1: Get rid of the fractions by finding a common denominator. The least common multiple (LCM) of 3 and 4 is 12. So, we'll convert all the fractions to have a denominator of 12.

20 / 3 = (20 * 4) / (3 * 4) = 80 / 12, 13 / 6 = (13 * 2) / (6 * 2) = 26 / 12.

The equation becomes:

80 / 12 - x + 1 / 4 = 26 / 12.

Step 2: Combine the fractions on one side of the equation.

80 / 12 - x + 1 / 4 = 26 / 12. => 80 / 12 + 1 / 4 - x = 26 / 12.

Step 3: Combine the whole numbers with the fractions.

80 / 12 + 3 / 12 - x = 26 / 12.

Step 4: Combine the fractions.

(80 + 3) / 12 - x = 26 / 12.

Step 5: Isolate "x" on one side by moving the constant term to the other side.

83 / 12 - x = 26 / 12.

Step 6: Now, to solve for "x," subtract 83/12 from both sides to get "x" by itself.

x = 83 / 12 - 26 / 12.

Step 7: Calculate the result.

x = (83 - 26) / 12 x = 57 / 12 x = 4 9/12.

Step 8: Simplify the result if possible.

x = 4 9/12 can be further simplified to x = 4 3/4.

So, the solution to the equation is x = 4 3/4.