Question

(6 3/14 - x) ×2 1/3=9 5/6

Answer 1

Ответ:

9 5/6 : 2 1/3

6 3/14 - 3 3/14

х = 3

Answer 2

To solve the equation, we need to find the value of "x."

Let's first convert the mixed numbers into improper fractions: 6 3/14 = (6 * 14 + 3) / 14 = 87 / 14 2 1/3 = (2 * 3 + 1) / 3 = 7 / 3 9 5/6 = (9 * 6 + 5) / 6 = 59 / 6

Now, the equation becomes:

(87/14 - x) * 7/3 = 59/6

Next, let's simplify the equation:

1. Multiply both sides by 3 to eliminate the fraction in the denominator on the left side:

3 * (87/14 - x) * 7/3 = 3 * 59/6

This simplifies to:

(87/14 - x) * 7 = 59/2

2. Now, let's get rid of the 7 on the left side by dividing both sides by 7:

(87/14 - x) = (59/2) / 7

Dividing 59/2 by 7 gives us:

(59/2) / 7 = 59/2 * 1/7 = 59/14

So, the equation becomes:

87/14 - x = 59/14

3. Now, let's isolate "x" by moving the term -x to the other side of the equation:

-x = 59/14 - 87/14

4. To get "x" by itself, we need to find a common denominator for 59/14 and 87/14, which is 14:

-x = (59 - 87) / 14

Now, calculate:

-x = -28 / 14

5. Finally, solve for "x" by multiplying both sides by -1 to get rid of the negative sign:

x = 28 / 14

Now, simplify the fraction:

x = 2

So, the value of "x" in the equation is 2.