Question

verify the commutative law for rational numbers
​

Answer 1

Answer:

Answer:

Property of Commutative law by taking two rational numbers.

Let  ${a}{b}$ and  ${c}{d}$ are two rational numbers.

$\frac{a}{b} + \frac{c}{d} = \frac{c}{d} + \frac{a}{b} (addition) \\ \\ \frac{a}{b} \times \frac{c}{d} = \frac{c}{d} \times \frac{a}{b} (multiplication \: )$

Let two rational numbers are   and .

Commutative property by taking two rational numbers(Addition)

$\frac{1}{5} + \frac{1}{7} = \frac{1}{35} \\ \\ \frac{1}{7} + \frac{1}{5} = \frac{1}{35}$

∴ Proved

Commutative property by taking two rational numbers (Multiplication)

$\frac{1}{5} \times \frac{1}{7} = \frac{1}{35} \\ \\ \frac{1}{7} \times \frac{1}{5} = \frac{1}{35}$

∴ Proved.