Use the distributive of multiplication of rational numbers over addition to simplify
$\frac{- 5}{4} \times [\frac{8}{5} + \frac{16}{15}]$

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Solution

Using distributive law of multiplication over addition,
$\frac{- 5}{4} \times [\frac{8}{5} + \frac{16}{15}]$
$= (- \frac{5}{4} \times \frac{8}{5}) + (- \frac{5}{4} \times \frac{16}{15})$
$= - 2 - \frac{4}{3}$
$= \frac{10}{3}$

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Similar questions

\frac{- 5}{4} \times [\frac{8}{5} + \frac{16}{15}]

Use the distributivity of multiplication of rational numbers over their addition to simplify:

(i) $\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1})$

(ii) $\frac{- 5}{4} \times (\frac{8}{5} + \frac{16}{5})$

(iii) $\frac{2}{7} \times (\frac{7}{16} - \frac{21}{4})$

(iv) $\frac{3}{4} \times (\frac{8}{9} - 40)$

\frac{3}{5} \times [\frac{35}{24} + \frac{10}{1}]

\frac{2}{7} \times [\frac{7}{16} - \frac{21}{4}]

\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1})

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