Question

Уравнение 7 11/12 - (k-1 1/3) = 4 1/36

Answer 1

Ответ:

Пошаговое объяснение:

7 11/12 - (k-1 1/3) = 4 1/36

7 11/12 - k+1 1/3 = 4 1/36

95/12+4/3- k= 4 1/36

95/12+16/12- k= 4 1/36

111/12- k= 4 1/36

k=111/12- 4 1/36

k=333/36-41/36

k=292/36

k=8 4/36=8 1/9

Answer 2

To solve the equation 7 11/12 - (k-1 1/3) = 4 1/36, we can start by simplifying the expressions on both sides of the equation.

Step 1: Convert mixed numbers to improper fractions: 7 11/12 can be converted to an improper fraction as (12 * 7 + 11)/12 = 95/12.

Similarly, k-1 1/3 can be converted to an improper fraction as (3 * k + 2)/3.

4 1/36 can be converted to an improper fraction as (36 * 4 + 1)/36 = 145/36.

Now, the equation becomes: 95/12 - (3k + 2)/3 = 145/36.

Step 2: Find a common denominator: The common denominator for 12, 3, and 36 is 36.

Rewriting the equation with the common denominator, we get: (36 * 95)/(12 * 3) - (36 * (3k + 2))/(3 * 3) = 145/36.

Simplifying further, we have: (36 * 95)/(36) - (36 * (3k + 2))/(9) = 145/36.

Step 3: Simplify and solve for k: Cancel out the common factors and simplify the equation: 95 - 4(3k + 2) = 145.

Expand the multiplication: 95 - 12k - 8 = 145.

Combine like terms: -12k + 87 = 145.

Move the constant term to the right side: -12k = 145 - 87.

Simplify: -12k = 58.

Divide by -12: k = 58/(-12).

Simplify the fraction: k = -29/6.

Therefore, the solution to the equation is k = -29/6.