Answer:
the value of the given expression is [tex]\frac{1}{15}[/tex]
Step-by-step explanation:
The computation is shown below:
Given that
[tex]\frac{-7}{15} \times \frac{2}{3} - \frac{7}{45} + \frac{2}{3} \times \frac{12}{15}[/tex]
Now solve this above expression
[tex]= \frac{-14}{45} - \frac{7}{45} + \frac{24}{45} \\\\= \frac{-14 -7 + 24}{45} \\\\= \frac{3}{45}\\\\= \frac{1}{15}[/tex]
Here we take the LCM of 45
Hence, the value of the given expression is [tex]\frac{1}{15}[/tex]