Question

60\90-(6\90+х)=29\90

Answer 1

Ответ:            5/18.

Пошаговое объяснение:

60/90-(6/90+х)=29/90;

-(6/90+х) = 29/90 - 60/90;

-(6/90+х) =-31/90;

x=31/90-6/90;

x=25/90 = 5/18.

Answer 2

To solve the equation $\frac{60}{90} - \left(\frac{6}{90} + x\right) = \frac{29}{90}$, we can follow these steps:

Step 1: Simplify the equation: $\frac{2}{3} - \frac{1}{15} - x = \frac{29}{90}$

Step 2: Find a common denominator for all the fractions involved, which is 90. Multiply each fraction by the necessary factor to obtain a denominator of 90: $\frac{2 \cdot 30}{3 \cdot 30} - \frac{1 \cdot 6}{15 \cdot 6} - x = \frac{29 \cdot 10}{90 \cdot 10}$

This simplifies to: $\frac{60}{90} - \frac{6}{90} - x = \frac{290}{900}$

Step 3: Combine the fractions on the left side: $\frac{54}{90} - x = \frac{290}{900}$

Step 4: Convert both fractions to have the same denominator of 900: $\frac{54 \cdot 10}{90 \cdot 10} - x = \frac{290}{900}$

This simplifies to: $\frac{540}{900} - x = \frac{290}{900}$

Step 5: Subtract $\frac{540}{900}$ from both sides of the equation: $-x = \frac{290}{900} - \frac{540}{900}$

Step 6: Subtract the fractions on the right side: $-x = -\frac{250}{900}$

Step 7: Divide both sides by -1 to solve for x: $x = \frac{250}{900}$

Step 8: Simplify the fraction if possible. In this case, we can divide both the numerator and denominator by 10: $x = \frac{25}{90}$

Therefore, the solution to the equation is $x = \frac{25}{90}$.