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Multiplication and Division of Rational Numbers

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Question

Question 38

In the following question, fill in the blanks with correct symbol >, < or =.

$\frac{- 3}{7} \div (\frac{- 7}{3}) =$ ___

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Solution

$∴ R e c i p r o c a l o f \frac{- 7}{3} i s \frac{3}{- 7} ∴ \frac{- 3}{7} \times (\frac{3}{- 7})$
Product of rational number $= \frac{P r o d u c t o f n u m e r a t o r s}{P r o d u c t o f d e n o m i n a t o r s} = \frac{(- 3 \times 3)}{7 \times (- 7)} = \frac{- 9}{- 49} = \frac{9}{49}$
Hence, $\frac{- 3}{7} \div (\frac{- 7}{3}) = \frac{9}{49}$

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Multiplication and Division of Rational Numbers

Standard VII Mathematics

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