Question

100/500+(50/150-х)=140/150​

Answer 1

50/150-х=140/150-100/150

50/150-х=40/150

х=50/150-40/150

х=10/150

х=1/15

Вот пожалуйста , если выберешь лучшим буду рада

Answer 2

To solve the equation $\frac{100}{500} + \left(\frac{50}{150} - x\right) = \frac{140}{150}$, let's follow these steps:

Step 1: Simplify the fractions on the left side of the equation.

• $\frac{100}{500} = \frac{1}{5}$
• $\frac{50}{150} = \frac{1}{3}$

Step 2: Substitute the simplified fractions into the equation and solve for $x$:

$\frac{1}{5} + \left(\frac{1}{3} - x\right) = \frac{140}{150}$

Now, let's find a common denominator, which is 15:

$\frac{3}{15} + \left(\frac{5}{15} - x\right) = \frac{140}{150}$

Step 3: Simplify and solve for $x$:

$\frac{3}{15} + \frac{5}{15} - x = \frac{140}{150}$

$\frac{8}{15} - x = \frac{140}{150}$

Next, let's express $\frac{140}{150}$ as a fraction with the same denominator (15):

$\frac{8}{15} - x = \frac{28}{30}$

Now, let's isolate $x$ by subtracting $\frac{28}{30}$ from both sides:

$- x = \frac{28}{30} - \frac{8}{15}$

To subtract the fractions, find a common denominator (30):

$- x = \frac{56}{60} - \frac{16}{60}$

$- x = \frac{40}{60}$

Simplify the fraction:

$- x = \frac{2}{3}$

Finally, multiply both sides by -1 to solve for $x$:

$x = -\frac{2}{3}$