Question

(5 1/3+ х + 1 1/10)/3=5 1/3

Answer 1

Ответ:

Х=9 целых 17/30

Пошаговое объяснение:

Answer 2

To solve the equation $\frac{5\frac{1}{3} + x + 1\frac{1}{10}}{3} = 5\frac{1}{3}$, follow these steps:

Step 1: Simplify the fractions: $5\frac{1}{3} = \frac{16}{3}$ $1\frac{1}{10} = \frac{11}{10}$

So, the equation becomes: $\frac{\frac{16}{3} + x + \frac{11}{10}}{3} = \frac{16}{3}$

Step 2: Subtract $\frac{16}{3}$ from both sides to isolate $x$: $\frac{\frac{16}{3} + x + \frac{11}{10}}{3} - \frac{16}{3} = \frac{16}{3} - \frac{16}{3}$

Simplify: $\frac{16}{3} + x + \frac{11}{10} - \frac{16}{3} = 0$

Step 3: Now, find a common denominator for $\frac{16}{3}$ and $\frac{11}{10}$, which is 30: $\frac{16}{3} = \frac{16 \cdot 10}{3 \cdot 10} = \frac{160}{30}$ $\frac{11}{10} = \frac{11 \cdot 3}{10 \cdot 3} = \frac{33}{30}$

So, the equation becomes: $\frac{\frac{160}{30} + x + \frac{33}{30}}{3} = 0$

Step 4: Combine the fractions: $\frac{\frac{160 + 33}{30} + x}{3} = 0$

$\frac{\frac{193}{30} + x}{3} = 0$

Step 5: Multiply both sides of the equation by 3 to eliminate the fraction on the left side: $\frac{3}{1} \cdot \frac{\frac{193}{30} + x}{3} = 0 \cdot 3$

Simplify: $\frac{193}{30} + x = 0$

Step 6: Subtract $\frac{193}{30}$ from both sides to solve for $x$: $x = -\frac{193}{30}$

So, the solution to the equation is $x = -\frac{193}{30}$.