Question

prove the commutative property of addition and multiplication for 11/13 and -14/5

Answer 1

Step-by-step explanation:

Commutative property of addition

a+b=b+a

$\frac{11}{13} + \frac{ - 14}{5} = \frac{ - 14}{5} + \frac{11}{13} \\ \frac{55 - 182}{65} = \frac{ - 182 + 55}{65} \\ \frac{ - 127}{65} = \frac{ - 127}{65}$

LHS=RHS

Hence proved.

Commutative property of multiplication

a×b=b×a

$\frac{11}{13} \times \frac{ - 14}{5} = \frac{ - 14}{5} \times \frac{11}{13} \\ \frac{ - 154}{65} = \frac{ - 154}{65}$

LHS=RHS

Hence proved.