Question

find using distributive

1 . {7/5 ×(-3/12)} + {7/5 × 5/12}
2. {9/16 × 4/12} +{9/16 ×-3/9}​

Answer 1

Answer:

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Answer 2

Answer:

⠀⠀⠀⠀Distributive Property

Let the a, b and c be the rational number.

$\dashrightarrow\sf\:\:a\times b+a\times c\\\\\dashrightarrow\sf\:\:a(b+c)$

$\rule{100}{1}$

$\sf 1.\:\Bigg\lgroup\dfrac{7}{5}\times\dfrac{-\:3}{12}\Bigg\rgroup+\Bigg\lgroup\dfrac{7}{5}\times\dfrac{5}{12}\Bigg\rgroup \\\\\sf here\:\:a = \dfrac{7}{5} \quad b = \dfrac{- \:3}{12} \quad c = \dfrac{5}{12}\\\\:\implies\sf \dfrac{7}{5} \times \Bigg\lgroup \dfrac{-\:3}{12} + \dfrac{5}{12}\Bigg\rgroup\\\\\\:\implies\sf \dfrac{7}{5} \times \Bigg\lgroup \dfrac{-\:3 + 5}{12}\Bigg\rgroup\\\\\\:\implies\sf \dfrac{7}{5} \times \dfrac{2}{12}\\\\\\:\implies\sf \dfrac{7}{5} \times\dfrac{1}{6}\\\\\\:\implies\underline{\boxed{ \dfrac{\textsf{\textbf{7}}}{\textsf{\textbf{30}}}}}$

$\rule{150}{2}$

$\sf 2.\:\Bigg\lgroup\dfrac{9}{16}\times\dfrac{4}{12}\Bigg\rgroup+\Bigg\lgroup\dfrac{9}{16}\times\dfrac{-\:3}{9}\Bigg\rgroup \\\\\sf here\:\:a = \dfrac{9}{16} \quad b = \dfrac{4}{12} \quad c = \dfrac{ - \:3}{9}\\\\:\implies\sf \dfrac{9}{16} \times \Bigg\lgroup \dfrac{4}{12} + \dfrac{ - \:3}{9}\Bigg\rgroup\\\\\\:\implies\sf \dfrac{9}{16} \times \Bigg\lgroup \dfrac{1}{3} + \dfrac{ - \:1}{3} \Bigg\rgroup\\\\\\:\implies\sf \dfrac{9}{16} \times \Bigg\lgroup \dfrac{1}{3} - \dfrac{1}{3}\Bigg\rgroup \\\\\\:\implies\sf \dfrac{9}{16} \times0\\\\\\:\implies\underline{\boxed{\textsf{\textbf{0}}}}$