Question

solve the following using property of rational number 2/5×-3/7-1/14-3/7×3/5​

Answer 1

The solution of expression using property of rational is $\dfrac{-1}{2}$  

Step-by-step explanation:

Given as :

The equation is in the form

$\dfrac{2}{5}$ ×  $\dfrac{-3}{7}$ - $\dfrac{1}{14}$  - $\dfrac{3}{7}$ × $\dfrac{3}{5}$  

The expression is solve using property of rational number

From commutative property

= $\dfrac{2}{5}$ ×  $\dfrac{-3}{7}$   - $\dfrac{3}{7}$ × $\dfrac{3}{5}$  - $\dfrac{1}{14}$

From Distributive method

 = $\dfrac{-3}{7}$  ( $\dfrac{2}{5}$   + $\dfrac{3}{5}$  ) - $\dfrac{1}{14}$                  

= $\dfrac{-3}{7}$  ( $\dfrac{2+3}{5}$  ) - $\dfrac{1}{14}$

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

= $\dfrac{-3}{7}$  × 1 - $\dfrac{1}{14}$

 =  $\dfrac{-3}{7}$ - $\dfrac{1}{14}$

Or,  Taking  L C M

  = $\dfrac{-6 - 1}{14}$

  = $\dfrac{-7}{14}$

  = $\dfrac{-1}{2}$

So, The solution of expression  = $\dfrac{-1}{2}$

Hence,  The solution of expression using property of rational is $\dfrac{-1}{2}$  Answer

Answer 2

Step-by-step explanation:

Given Solve the following using property of rational number 2/5×-3/7-1/14-3/7×3/5

• So we need to solve the following by property of rational numbers.
• So we have 2/5 x – 3/7 – 1/14 – 3/7 x 3/5
• So 2/5 x – 3/7 – 1/14 – 9/35 (using closure property of multiplication)
• So – 6/35 – 1/14 – 9/35
• So we get – 6/35 – 9/35 – 1/14
• Using closure property  we get
• = - 15/35 – 1/14
• = - 30 – 5 / 70
• = - 35 /70
• = - 1/2

Reference link will be

https://brainly.in/question/4376797