Question

pls send the answer ... I am always confused in distributive property pls​

Answer 1

Answer:

Step-by-step explanation:

3/5x15/10+3/5x10/20

= 9/10+6/20

=18+6/20

=24/20

=6/5

Answer 2

$\undetline {\blue { Distributive\: Property }}$

$\boxed { \pink { a(b+c) = a \times b + a \times c }}$

$Here , a = \frac{3}{2} , b = \frac{15}{10} \:and \:c = \frac{10}{20}$

$i) a (b+c ) \\= \frac{3}{5} \Big( \frac{15}{10} + \frac{10}{20}\Big)\\= \frac{3}{5} \Big( \frac{30+10}{20} \Big)\\= \frac{3}{5} \Big( \frac{40}{20} \Big)\\= \frac{3}{5} \times 2\\= \frac{6}{5} \: --(1)$

$ii )a\times b + a \times c \\ =\frac{3}{5} \times \frac{15}{10} + \frac{3}{5} \times \frac{10}{20} \\= \frac{3}{5} \times \frac{3}{2} + \frac{3}{5} \times \frac{1}{2} \\= \frac{9}{10} + \frac{3}{10} \\= \frac{12}{10} \\= \frac{6}{5} \: --(2)$

$From \:(1) \:and \: (2)$

$\frac{3}{5} \Big( \frac{15}{10} + \frac{10}{20}\Big)\\= \frac{3}{5} \times \frac{15}{10} + \frac{3}{5} \times \frac{10}{20} \\= \frac{6}{5}$

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