Question

name the property (under addition and multiplication) (-3/7)+4/6= 4/6 (-3/7)​

Answer 1

Answer:

commutative property

hope it helps you........

Answer 2

$\underline { \blue { Commutative \: Property \: under \: addition : }}$

The commutative Property states that the change in the order of two numbers on binary operation doesn't change the result

$\boxed { \pink { a + b = b + a }}$

$Here , a = \frac{-3}{7} \: and \: b= \frac{4}{6}$

$i) a + b\\ = \frac{-3}{7} + \frac{4}{6}\\=\frac{ -18+28}{42} \\= \frac{10}{42} \\= \frac{5}{21} \: --(1)$

$ii) b + a \\ = \frac{4}{6} + \frac{-3}{7}\\</p><p>= \frac{4}{6} - \frac{3}{7}=\frac{ 28 -18}{42} \\= \frac{10}{42} \\= \frac{5}{21} \: --(2)$

/* From (1) and (2) , we conclude that */

$a + b = b + a$

$\implies \green { \frac{-3}{7} + \frac{4}{6}} \orange { = \frac{4}{6} + \frac{-3}{7} }$

Therefore.,

$\red { Property \:name } \\\green { (Commutative \: Property \: under \: addition )}$

•••♪