Question

check the commutative property of addition, subtraction, multiplication and division on rational number
$\frac{2}{7} \frac{4}{7}$
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Answer 1

Answer:

$\frac{2}{7} + \frac{4}{7} = \frac{4}{7} + \frac{2}{7}$

$\frac{6}{7} = \frac{6}{7}$

hence commutative property is applicable for addition

$\frac{2}{7} - \frac{4}{7} = \frac{4}{7} - \frac{2}{7}$

$\frac{ - 2}{7} = \frac{2}{7}$

hence -2/7≠ 2/7

hence commutative property is not applicable for subtraction

$\frac{2}{7} \times \frac{4}{7} = \frac{4}{7} \times \frac{2}{7}$

$\frac{8}{49} = \frac{8}{49}$

hence commutative property is applicable for multiplication

$\frac{2}{7} \div \frac{4}{7} = \frac{4}{7} \div \frac{2}{7}$

$\frac{2}{7} \times \frac{7}{4} = \frac{4}{7} \times \frac{7}{2}$

$\frac{1}{2} = 2$

hence ½≠2

hence commutative property is not applicable for division