Question 111(ii)
Use the distributivity of multiplication of rational numbers over addition to simplify.
$\frac{- 5}{4} \times [\frac{8}{5} + \frac{16}{15}]$

Open in App

Solution

Given $\frac{- 5}{4} \times [\frac{8}{5} + \frac{16}{15}] = \frac{- 5}{4} \times \frac{8}{5} + (\frac{- 5}{4}) \times (\frac{16}{15})$
[by using distributive property over addition]
$= - 2 - \frac{4}{3} = \frac{- 6 - 4}{3} = \frac{- 10}{3}$

Suggest Corrections

Similar questions

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

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

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

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

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program