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

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

\frac{- 3}{22}

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\frac{55}{8}

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\frac{- 21}{5}

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\frac{91}{183}

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Solution

The correct option is B $\frac{55}{8}$
$\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1}) = \frac{3}{5} \times \frac{35}{24} + \frac{3}{5} \times \frac{10}{1} = \frac{7 + 48}{8} = \frac{55}{8}$

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Similar questions

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

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

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

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

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

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

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}]

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