Question

(6/13x−1/5)⋅3/16=3/16​

Answer 1

Ответ: X=5/13

Пошаговое объяснение:

Answer 2

To solve the equation $\left(\frac{6}{13}x - \frac{1}{5}\right) \cdot \frac{3}{16} = \frac{3}{16}$, you can follow these steps:

Step 1: Distribute the $\frac{3}{16}$ on the left-hand side of the equation: $\frac{3}{16} \cdot \frac{6}{13}x - \frac{3}{16} \cdot \frac{1}{5} = \frac{3}{16}$

Step 2: Simplify the fractions on the left-hand side: $\frac{18}{208}x - \frac{3}{80} = \frac{3}{16}$

Step 3: Combine the fractions on the left-hand side: $\frac{18x}{208} - \frac{3}{80} = \frac{3}{16}$

Step 4: To eliminate fractions, multiply both sides of the equation by the least common multiple (LCM) of the denominators (208 and 80), which is 2080: $2080 \cdot \frac{18x}{208} - 2080 \cdot \frac{3}{80} = 2080 \cdot \frac{3}{16}$

Simplifying each term: $18x - 78 = 390$

Step 5: Now, isolate $x$ by subtracting 78 from both sides: $18x = 390 + 78$ $18x = 468$

Step 6: Finally, divide both sides by 18 to solve for $x$: $x = \frac{468}{18}$ $x = 26$

So, the solution to the equation is $x = 26$.