Question

using the distributive property find the value of each of the following​

Answer 1

Given:

$\sf{ \dfrac{ - 13}{5} \times \dfrac{16}{7} + \dfrac{ - 13}{5} \times \dfrac{19}{7}}$

$\:$

Solution:

Distributive property:- $\underline {\sf {\red {a \times b + a \times c = a(b+c)}}}$

With respect to the question;

a = $\sf \dfrac {-13}{5}$

b = $\sf \dfrac {16}{7}$

c = $\sf \dfrac {19}{7}$

$\:$

$\sf{ \dfrac{ - 13}{5} \times \dfrac{16}{7} + \dfrac{ - 13}{5} \times \dfrac{19}{7}}$

$\pink \bigstar \sf \pink{ \: Taking \: \dfrac{ - 13}{5} \: as \: common.}$

$\sf{ \dfrac{ - 13}{5} \times ( \dfrac{16}{7} + \dfrac{19}{7}} )$

$\sf{ \dfrac{ - 13}{5} \times ( \dfrac{35}{7} )}$

$\sf{ \dfrac{ - 13}{5} \times ( \dfrac{\cancel{35}}{\cancel{7}} )}$

$\sf{ \dfrac{ - 13}{5} \times 5}$

$\sf{ \dfrac{ - 13}{\cancel5} \times \cancel{5}}$

= -13