Question

2 19/22 : (х - 1) = 6 3/4 4 5/7

Answer 1

Мне не понятно твое условие, поэтому предложу несколько вариантов уравнений и их решение.

$2 \frac{19}{22} \div (x - 1) = 6 \frac{3}{4} \\ x - 1 = 2 \frac{19}{22} \times 6 \frac{3}{4} = \frac{63 \times 4}{22 \times 27} = \frac{14}{33} \\ x = \frac{14}{33} + 1 \\ x =1 \frac{14}{33}$

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второй вариант уравнения на фото

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$2 \frac{19}{22} \div (x - 1) =6 \frac{3}{4} \div 4 \frac{5}{7} \\ 2 \frac{19}{22} \times 4 \frac{5}{7} = 6 \frac{3}{4} (x - 1) \\ \frac{63 \times 33}{22 \times 7} = \frac{27}{4} (x - 1) \\ \frac{9 \times 3}{2} = \frac{27}{4} (x - 1) \\ x - 1 = \frac{27}{2} \div \frac{27}{4} \\ x - 1 = \frac{27 \times 4}{2 \times 27} \\ x - 1 = 2 \\ x = 2 + 1 \\ x = 3$

Answer 2

To solve the equation 2 19/22 * (x - 1) = 6 3/4 4 5/7, we need to follow these steps:

Step 1: Convert the mixed numbers to improper fractions. Step 2: Perform the multiplication on the left-hand side. Step 3: Solve for the variable x.

Let's start with Step 1:

2 19/22 = (2 * 22 + 19) / 22 = 63 / 22 6 3/4 = (6 * 4 + 3) / 4 = 27 / 4 4 5/7 = (4 * 7 + 5) / 7 = 33 / 7

Now, the equation becomes:

(63/22) * (x - 1) = 27/4 + 33/7

Next, let's get a common denominator for the right-hand side:

The least common multiple (LCM) of 4 and 7 is 28.

(27/4) * (7/7) = 189/28 (33/7) * (4/4) = 132/28

Now, the equation becomes:

(63/22) * (x - 1) = 189/28 + 132/28

Step 2: Perform the addition on the right-hand side:

(189/28 + 132/28) = 321/28

The equation becomes:

(63/22) * (x - 1) = 321/28

Step 3: Solve for x:

To solve for x, we need to isolate it on one side of the equation. To do that, we can divide both sides of the equation by (63/22):

[(63/22) * (x - 1)] / (63/22) = (321/28) / (63/22)

The (63/22) on the left-hand side cancels out, and we are left with:

x - 1 = (321/28) / (63/22)

Now, we can simplify the right-hand side by dividing the fractions:

x - 1 = (321/28) * (22/63)

x - 1 = 7222/1764

Now, to solve for x, we'll isolate it by adding 1 to both sides:

x = 7222/1764 + 1

To add the fractions, we need a common denominator, which is 1764:

x = (7222 + 1764) / 1764

x = 8986 / 1764

Finally, we can simplify the fraction:

x = 4493 / 882

So, the solution for the equation is:

x = 4493/882