Question

Using appropriate property find
2/5 X (-3)/( 7) - 1/14 - 3/7 X 3/5
pls

Answer 1

Answer:

5

2

×

7

−3

−

14

1

−

7

3

×

5

3

=−

2

1

Step-by-step explanation:

Given : Expression \frac{2}{5}\times \frac{-3}{7} -\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}

5

2

×

7

−3

−

14

1

−

7

3

×

5

3

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}

5

2

×

7

−3

−

14

1

−

7

3

×

5

3

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}=

5

2

×

7

−3

−

7

3

×

5

3

−

14

1

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

(

5

2

+

5

3

)−

14

1

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

7

−3

(

5

5

)−

14

1

=-\frac{3}{7}-\frac{1}{14}=−

7

3

−

14

1

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}

5

2

×

7

−3

−

14

1

−

7

3

×

5

3

=−

2

1