Assertion (A): Division of rational numbers is not commutative. Reason (R): Division of rational numbers is not associative.

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Commutative Property of Rational Numbers, Associative Property of Rational Numbers | PadhAiPro

Question

Assertion-ReasonCommutative Property of Rational NumbersAssociative Property of Rational Numbers

\left(\frac{-3}{5}\times\frac{4}{7}\right)\times\frac{-1}{2}=\frac{-3}{5}\times\left(\frac{4}{7}\times\frac{-1}{2}\right) is an example of:

For all rational numbers a and b, which statement is always true?

For all non-zero rational numbers a, b, c: (a \div b) \div c = a \div (b \div c).

Using suitable rearrangement, find: \frac{3}{7}+\frac{-6}{11}+\frac{-8}{21}+\frac{5}{22}

Verify that x + y = y + x for x = \frac{-7}{10} and y = \frac{5}{-8}.

Simplify using suitable properties and give the answer as a decimal: \frac{2}{5}\times\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}