Question

(7/15x-3/5)*13/15=26/25

Answer 1

$( \frac{7}{15} x - \frac{3}{5} ) \times \frac{13}{15} = \frac{26}{25}$

$\frac{91}{225} x - \frac{13}{25} = \frac{26}{25}$

91-117=234

91х=234+117

91х=351

$x = \frac{27}{7}$

Answer 2

To solve the equation $\frac{7}{15}x - \frac{3}{5} \cdot \frac{13}{15} = \frac{26}{25}$, you can follow these steps:

1. First, simplify the expression on the left-hand side by multiplying the fractions:

   $\frac{7}{15}x - \frac{39}{75} = \frac{26}{25}$

2. Now, find a common denominator for the fractions on the left-hand side. The common denominator for 15 and 75 is 75:

   $\frac{7}{15}x - \frac{39}{75} = \frac{26}{25}$

3. Adjust the fractions to have the common denominator:

   $\frac{7}{15}x - \frac{39}{75} = \frac{26}{25} \cdot \frac{3}{3} = \frac{78}{75}$

4. Now, you have the equation:

   $\frac{7}{15}x - \frac{39}{75} = \frac{78}{75}$

5. To eliminate the fractions, you can multiply both sides of the equation by 75 to clear the denominators:

   $75 \cdot \left(\frac{7}{15}x - \frac{39}{75}\right) = 75 \cdot \left(\frac{78}{75}\right)$

6. Simplify:

   $5x - 39 = 78$

7. Add 39 to both sides of the equation to isolate the variable $x$:

   $5x - 39 + 39 = 78 + 39$

   $5x = 117$

8. Finally, divide both sides by 5 to solve for $x$:

   $x = \frac{117}{5}$

So, the solution to the equation $\frac{7}{15}x - \frac{3}{5} \cdot \frac{13}{15} = \frac{26}{25}$ is $x = \frac{117}{5}$.