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Multiplication and Division of Rational Numbers

Simplify each...

Question

Simplify each of the following and express the result as a rational number in standard form:
$\frac{7}{6} \times \frac{- 3}{28}$

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Solution

We have,
$\frac{7}{6} \times (\frac{- 3}{28})$
$= \frac{7}{28} \times (\frac{- 3}{6})$
$= \frac{1}{4} \times (\frac{- 1}{2})$
$= \frac{- 1}{8}$

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Similar questions

Simplify peach of the following and express the result as a rational number in standard from:
(i) $- \frac{16}{21} \times \frac{14}{5}$
(ii) $\frac{7}{6} \times \frac{- 3}{28}$
(iii) $- \frac{19}{36} \times 16$
(iv) $- \frac{13}{9} \times \frac{27}{- 26}$

Q. Express each of the following as a rational number with positive denominator:
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\frac{- 15}{- 28}

\frac{6}{- 9}

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Q. Simplify each of the following and express the result as a rational number in standard form:
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\frac{- 16}{21} \times \frac{14}{5}

\frac{7}{6} \times \frac{- 3}{28}

\frac{- 19}{36} \times 16

\frac{- 13}{9} \times \frac{27}{- 26}

\frac{- 9}{16} \times \frac{- 64}{- 27}

\frac{- 50}{7} \times \frac{14}{3}

\frac{- 11}{9} \times \frac{- 81}{- 88}

\frac{- 5}{9} \times \frac{72}{- 25}

Q. Simplify each of the following and express each as a rational number:

{(\frac{- 2}{3})}^{5} \times {(\frac{- 3}{7})}^{3}

Q. Simplify each of the following and express each as a rational number:

{(\frac{3}{2})}^{4} \times {(\frac{1}{5})}^{2}

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