To divide one rational number by the other rational number, we multiply the rational number by the of the other.

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Solution

To divide one rational number by another rational number, we multiply the rational number by the reciprocal of the other.
$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$
Example: $\frac{3}{4} \div \frac{5}{7} = \frac{3}{4} \times \frac{7}{5}$

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Similar questions

\frac{- 15}{56}

\frac{- 5}{7}

By what rational number should we multiply $\frac{- 15}{56}$ to get $\frac{- 5}{7}$ ?

(i) Are rational numbers always closed under division ?

(ii) Are rational numbers always commutative under division ?

(iii) Are rational numbers always associative under division ?

(iv) Can we divide 1 by 0 ?

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