Question

Simplify using suitable property
2/5×-3/7-1/6×3/2+1/14×1/2​

Answer 1

Answer:

simplify 2/5×-(3/7)-1/6×3/2+1/14×2/5

Rearranging the terms , we get

= [2/5 ×(-3/7)+(1/14)(2/5)]-1/6×3/2

= (2/5)[ -3/7 +1/14] - 1/4

______________________

By Distributive property:

A×B + A×C = A(B+C)

_____________________

=(2/5) [ (-6+1)/14] - 1/4

= (2/5)×(-5/14) - 1/4

= -1/7 - 1/4 /* After cancellation */

=( -4 - 7)/28

= -11/28

Therefore,

2/5×-(3/7)-1/6×3/2+1/14×2/5

= -11/28

••••