Question

1/3k+7/24k−1/8k, если k=1/12.

Answer 1

Ответ:

1/24

Пошаговое объяснение:

Если k=1/12:

1/3 ·k +7/24 ·k -1/8 ·k=k(8/24 +7/24 -3/24)=к·12/24=1/12 ·12/24=1/24

Answer 2

To evaluate the expression when k = 1/12, simply substitute the value of k into the expression:

1/3k + 7/24k - 1/8k

Let's do the calculations step by step:

1. Replace k with 1/12:

1/3(1/12) + 7/24(1/12) - 1/8(1/12)

2. Simplify each term:

1/36 + 7/288 - 1/96

3. Find a common denominator:

The common denominator for 36, 288, and 96 is 288.

4. Convert each fraction to have the common denominator:

8/288 + 7/288 - 3/288

5. Combine the fractions:

(8 + 7 - 3)/288

6. Perform the arithmetic:

12/288

7. Reduce the fraction to its simplest form:

1/24

So, when k = 1/12, the expression 1/3k + 7/24k - 1/8k evaluates to 1/24.