Question

Verify the property $a\times (b+c)=(a\times b)+(a\times c)$ When $a=\frac{1}{2},b=\frac{3}{7}\&c=\frac{5}{14}$.

Answer 1

$a\times (b+c)$

$=\frac{1}{2}\times (\frac{3}{7}+\frac{5}{14})$

$=\frac{1}{2}\times \frac{11}{14}$

$=\frac{11}{28}$

And,

$(a\times b)+(a\times c)$

$=(\frac{1}{2}\times \frac{3}{7})+(\frac{1}{2}\times \frac{5}{14})$

$=\frac{3}{14}+\frac{5}{28}$

$=\frac{11}{28}$

Hence, $a\times (b+c)=(a\times b)+(a\times c)$