Question

2 7/18-x=-5 4/9+1 5/6

Answer 1

Ответ: 6

Пошаговое объяснение:

Answer 2

To solve the equation 2 7/18 - x = -5 4/9 + 1 5/6, we need to simplify the mixed numbers and fractions first, and then perform the necessary operations. Let's break down the steps:

Step 1: Convert the mixed numbers to improper fractions. 2 7/18 becomes (2 * 18 + 7)/18 = 43/18 1 5/6 becomes (1 * 6 + 5)/6 = 11/6

So, the equation becomes: 43/18 - x = - 53/9 + 11/6

Step 2: Find a common denominator for the fractions involved. The common denominator for 18, 9, and 6 is 18.

So, the equation becomes: (43/18) - x = (-53/9) + (11/6)

Step 3: Convert the fractions to have a common denominator of 18. (43/18) - x = (-53/9) + (11/6) To convert -53/9 and 11/6 to have a denominator of 18, we multiply the numerator and denominator of each fraction by the appropriate factor: -53/9 * (2/2) = -106/18 11/6 * (3/3) = 33/18

Now the equation becomes: (43/18) - x = (-106/18) + (33/18)

Step 4: Combine the fractions. (43/18) - x = (-106/18) + (33/18) To combine the fractions on the right side, we add the numerators together while keeping the denominator the same: (43/18) - x = (-106 + 33)/18 (43/18) - x = (-73/18)

Step 5: Isolate the variable. To isolate the variable x, we need to move (-73/18) to the other side by subtracting it from both sides of the equation: (43/18) - x - (-73/18) = (-73/18) - (-73/18) (43/18) - x + (73/18) = 0 (43 + 73)/18 - x = 0 116/18 - x = 0

Step 6: Simplify and solve for x. To simplify the left side, we can divide both the numerator and denominator of 116/18 by their greatest common divisor, which is 2: (116/2)/(18/2) - x = 0 58/9 - x = 0

Now, we can solve for x by moving the 58/9 term to the other side of the equation: x = 58/9

So, the solution to the equation 2 7/18 - x = -5 4/9 + 1 5/6 is x = 58/9.