Division of two rational numbers is a rational number if denominator is not equal to zero.Justify.

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Solution

The collection of, all other rational numbers is closed under division. For example: two rational numbers are: a = $\frac{3}{2}$ , b = $\frac{7}{18}$ ;

Division of two rational number: $\frac{a}{b}$ = $\frac{\frac{3}{2}}{\frac{7}{18}}$ = $\frac{54}{14}$ = $\frac{27}{7}$ , which is an rational number.

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