Question

(х-3 1/2)×2 3/5=56,7​

Answer 1

{(x - (3 + 1\/2)) (2 + 3\/5) = 56, 7}  

{13\/5 (x - 7\/2) = 56, 7}

Answer 2

Пошаговое объяснение:

(х-3 1/2)×2 3/5=56,7

(х-7/2)×13/5=56 7/10

(х-7/2)×13/5=567/10

Х-7/2=567/10:13/5

Х-7/2=567/10×5/13

Х-7/2=567/26

Х=567/26+7/2

Х=(567+91)/26=658/26=329/13=25 4/13

Answer 3

To solve the given equation $(x - \frac{3}{2}) \times \frac{8}{5} = 56.7$, we'll first simplify the expression on the left side and then solve for $x$.

First, let's simplify the expression $(x - \frac{3}{2}) \times \frac{8}{5}$:

$$(x - \frac{3}{2}) \times \frac{8}{5} = \frac{8}{5}x - \frac{8}{5} \times \frac{3}{2} = \frac{8}{5}x - \frac{12}{10} = \frac{8}{5}x - \frac{6}{5}.$$

Now, we have the equation:

$$\frac{8}{5}x - \frac{6}{5} = 56.7.$$

Next, we'll isolate $x$ by adding $\frac{6}{5}$ to both sides:

$$\frac{8}{5}x = 56.7 + \frac{6}{5}.$$

Now, let's find a common denominator to add the fractions on the right side:

$$\frac{8}{5}x = \frac{283}{5}.$$

To solve for $x$, we'll divide both sides by $\frac{8}{5}$:

$$x = \frac{283}{5} \div \frac{8}{5}.$$

Dividing by a fraction is the same as multiplying by its reciprocal:

$$x = \frac{283}{5} \times \frac{5}{8}.$$

Now, let's calculate $x$:

$$x = \frac{283 \times 5}{5 \times 8} = \frac{1415}{40} = 35.375.$$

So, $x \approx 35.375$.