Question

6,17/27:(x-76,2/9) =1, 2/3​

Answer 1

Ответ:

Пошаговое объяснение:

х - 76. 2/9 = 6. 17/27 : 1. 2/3

х - 76. 2/9 = 179/27 : 5/3

х - 76. 2/9 = 179/27 * 3/5

х - 76. 2/9 = 179/9 * 1/5

х - 76. 2/9 = 179/45

х - 76. 2/9 = 3. 44/45

х = 3. 44/45 + 76. 2/9

х = 3. 44/45 + 76. 10/45

х = 79. 54/45

х = 80. 9/45

х = 80. 1/5

Answer 2

To solve the equation $6 + \frac{17}{27} : (x - \frac{76}{9}) = \frac{1}{2} + \frac{2}{3},$ you should follow these steps:

1. Simplify both sides of the equation individually:

   On the left side, simplify the fraction $6 + \frac{17}{27}$:

   $6 + \frac{17}{27} = \frac{162}{27} + \frac{17}{27} = \frac{162 + 17}{27} = \frac{179}{27}.$

   On the right side, simplify the fraction $\frac{1}{2} + \frac{2}{3}$:

   $\frac{1}{2} + \frac{2}{3} = \frac{3}{6} + \frac{4}{6} = \frac{3 + 4}{6} = \frac{7}{6}.$

2. The equation now becomes:

   $\frac{179}{27} : (x - \frac{76}{9}) = \frac{7}{6}.$

3. To get rid of the fraction on the left side, you can multiply both sides of the equation by 27:

   $\frac{179}{27} \cdot 27 : (x - \frac{76}{9}) \cdot 27 = \frac{7}{6} \cdot 27.$

   This simplifies to:

   $179 = 27(x - \frac{76}{9}) = \frac{7}{6} \cdot 27.$

4. Now, you can solve for $x$. First, distribute the 27 on the left side:

   $179 = 27x - 27 \cdot \frac{76}{9} = \frac{7}{6} \cdot 27.$

   $179 = 27x - 7 \cdot 3 = \frac{7}{6} \cdot 27.$

5. Next, simplify the equation:

   $179 = 27x - 21 = \frac{7}{6} \cdot 27.$

6. Now, isolate $x$ by adding 21 to both sides:

   $179 + 21 = 27x = \frac{7}{6} \cdot 27 + 21.$

   $200 = 27x = \frac{7}{6} \cdot 27 + 21.$

7. Finally, divide by 27 to solve for $x$:

   $x = \frac{200}{27} = \frac{7}{6} + \frac{21}{27}.$

   $x = \frac{200}{27} = \frac{7}{6} + \frac{7}{6}.$

   $x = \frac{200}{27} = \frac{14}{6}.$