Question

(1 1/18 + 2x) : 2/5 = 4 1/3

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Ответ:

13/3

Пошаговое объяснение

1/2 (2x + 19/18) = 13/3

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13/3

Answer 3

To solve the given equation $\left(\frac{1}{1} + \frac{1}{18} + 2x\right) \div \frac{2}{5} = 4 \frac{1}{3}$, follow these steps:

Step 1: Simplify the left side of the equation.

First, find a common denominator for the fractions on the left side of the equation. The common denominator for 1 and 18 is 18.

$\left(\frac{18}{18} + \frac{1}{18} + 2x\right) \div \frac{2}{5} = 4 \frac{1}{3}$

Simplify the fractions inside the parentheses:

$\left(\frac{19}{18} + 2x\right) \div \frac{2}{5} = 4 \frac{1}{3}$

Step 2: Divide by $\frac{2}{5}$ (which is the same as multiplying by $\frac{5}{2}$).

$\left(\frac{19}{18} + 2x\right) \times \frac{5}{2} = 4 \frac{1}{3}$

Multiply both sides of the equation by $\frac{5}{2}$:

$5 \times \left(\frac{19}{18} + 2x\right) = 4 \times \frac{4}{3}$

Step 3: Simplify the equation further.

$\frac{95}{18} + 10x = \frac{16}{3}$

Step 4: Solve for $x$.

First, subtract $\frac{95}{18}$ from both sides of the equation:

$10x = \frac{16}{3} - \frac{95}{18}$

To subtract these fractions, find a common denominator, which is 18:

$10x = \frac{32}{6} - \frac{95}{18}$

$10x = \frac{64 - 95}{18}$

$10x = \frac{-31}{18}$

Finally, divide by 10:

$x = \frac{-31}{180}$

So the solution to the equation is $x = -\frac{31}{180}$.