Find using distributivity:
$[\frac{7}{5} \times (\frac{- 3}{12})] + [\frac{7}{5} \times \frac{5}{12}]$

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Solution

$[\frac{7}{5} \times (\frac{- 3}{12})] + [\frac{7}{5} \times \frac{5}{12}] = \frac{7}{5} \times {(\frac{- 3}{12}) + \frac{5}{12}}$

$= \frac{7}{5} \times {\frac{- 3 + 5}{12}}$

$= \frac{7}{5} \times {\frac{2}{12}}$

$= \frac{7}{5} \times \frac{2}{12}$

$= \frac{7}{5} \times \frac{1}{6}$

$= \frac{7}{30}$

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Similar questions

Q. Using distributivity, find

{\frac{7}{5} \times (\frac{- 3}{12})} + {\frac{7}{5} \times \frac{5}{12}}

Find using distributivity.

{7/5*(-3/12)} + {7/5*5/12}

Q. Solve:(7/5*-3/12)+(7/5*5/12) using distributive property.

Q. Solve:

{\frac{7}{5} \times (\frac{- 3}{12})} + {\frac{7}{5} \times \frac{5}{12}}

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

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Find using distributivity:[75×(−312)]+[75×512]

[75×(−312)]+[75×512]=75×{(−312)+512}=75×{−3+512}=75×{212}=75×212=75×16=730

Find using distributivity:
$[\frac{7}{5} \times (\frac{- 3}{12})] + [\frac{7}{5} \times \frac{5}{12}]$