Question

2 5/9*(3 2/3х - 1,2)-3,6=1​

Answer 1

Ответ:

9/11

Пошаговое объяснение:

2 5/9*(3 2/3х-1,2)-3,6=1

23/9*11/3х-23/9*6/5-3 3/5=1

253/27х-138/45-18/5=1

253/27х=1+3 1/15+3 3/5

253/27х=7 (1+9)/15

253/27х=7 2/3

х=23/3:253/27=23/3*27/253

х=9/11

Answer 2

To solve the equation $2 \frac{5}{9} \cdot (3 \frac{2}{3}x - 1.2) - 3.6 = 1$, follow these steps:

Step 1: Convert mixed numbers to improper fractions: $2 \frac{5}{9} = \frac{23}{9}$ $3 \frac{2}{3} = \frac{11}{3}$

Step 2: Substitute the converted fractions into the equation: $\frac{23}{9} \cdot \left(\frac{11}{3}x - 1.2\right) - 3.6 = 1$

Step 3: Distribute the fractions: $\frac{23}{9} \cdot \frac{11}{3}x - \frac{23}{9} \cdot 1.2 - 3.6 = 1$

Step 4: Multiply the fractions: $\frac{253}{27}x - \frac{69}{9} - 3.6 = 1$

Step 5: Simplify the fractions: $\frac{253}{27}x - \frac{23}{3} - 3.6 = 1$

Step 6: Combine the constants: $\frac{253}{27}x - \frac{23}{3} - 3.6 = 1$ $\frac{253}{27}x - \frac{69}{3} = 1 + 3.6$ $\frac{253}{27}x - \frac{207}{3} = 4.6$

Step 7: Convert the constants to fractions: $\frac{253}{27}x - \frac{621}{27} = \frac{230}{27}$

Step 8: Subtract $\frac{621}{27}$ from both sides: $\frac{253}{27}x = \frac{230}{27} + \frac{621}{27}$ $\frac{253}{27}x = \frac{851}{27}$

Step 9: Solve for $x$: $x = \frac{851}{27} \div \frac{253}{27}$ $x = \frac{851}{253}$ $x = \frac{97}{29}$

So, the solution to the equation is $x = \frac{97}{29}$.