Answer:
The answer to the given question is - ¹/₂
Step-by-step explanation:
Given;
[tex]\frac{2}{5} \times -\frac{3}{7} - \frac{1}{14} - \frac{3}{7} \times \frac{3}{5}[/tex]
Before we apply the distributive property, perform the multiplication operation.
[tex](\frac{2}{5} \times -\frac{3}{7}) - \frac{1}{14} - (\frac{3}{7} \times \frac{3}{5} )\\\\\frac{-6}{35} - \frac{1}{14} - \frac{9}{35}[/tex]
Now, apply the distributive property, to obtain the final answer,
In distributive property, the following rule is applied;
ax + ay = a(x + y)
[tex]\frac{-6}{35} - \frac{1}{14} - \frac{9}{35} = \frac{-1}{7} (\frac{6}{5} + \frac{1}{2} + \frac{9}{5} )= \frac{-1}{7} (\frac{12 + 5+ 18}{10} )= \frac{-1}{7} (\frac{35}{10} ) = \frac{-35}{70} = \frac{-1}{2}[/tex]
Therefore, the answer to the given question is - ¹/₂
