Question

name the property
3/7 + 2/5 = 2/5 + 3/7​

Answer 1

Answer:

\frac{2}{5}\times \frac{-3}{7} -\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}=-\frac{1}{2}52×7−3−141−73×53=−21

Step-by-step explanation:

Given : Expression \frac{2}{5}\times \frac{-3}{7} -\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}52×7−3−141−73×53

To find : The expression using appropriate properties ?

Solution :

\frac{2}{5}\times \frac{-3}{7} -\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}52×7−3−141−73×53

Applying commutative property, a+b=b+aa+b=b+a

=\frac{2}{5}\times \frac{-3}{7}-\frac{3}{7}\times\frac{3}{5} -\frac{1}{14}=52×7−3−73×53−141

Applying distributive property, ab+ac=a(b+c)ab+ac=a(b+c)

=\frac{-3}{7}(\frac{2}{5}+\frac{3}{5})-\frac{1}{14}=7−3(52+53)−141

=\frac{-3}{7}(\frac{5}{5})-\frac{1}{14}=7−3(55)−141

=-\frac{3}{7}-\frac{1}{14}=−73−141

Taking LCD and solve,

=\frac{-6-1}{14}=14−6−1

=\frac{-7}{14}=14−7

=\frac{-1}{2}=2−1

Therefore, \frac{2}{5}\times \frac{-3}{7} -\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}=-\frac{1}{2}52×7−3−141−73×53=−21

Answer 2

Answer:

I think this the correct answer

Step-by-step explanation:

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