Question

Please help ASAP

Answer 1

Answer :-

$\frac{1}{2}$

Question :-

$find \: \frac{ - 4}{5} \times \frac{3}{7} \times \frac{15}{16} \times ( \frac{ - 14}{9} )$

Solution :-

First way:

• we have ;

$\frac{ - 4}{5} \times \frac{3}{7} \times \frac{15}{16} \times ( \frac{ - 14}{9} )$

So then ,

$= > \: ( - \frac {4 \times 3}{5 \times 7} ) \times ( \frac{15 \times ( - 14)}{16 \times 9}$

$= > \: \frac{ - 12}{35} \times ( \frac{ - 35}{24} ) = \frac{ - 12 \times ( - 35)}{35 \times 24} = \frac{1}{2}$

Second way :

$\frac{ - 4}{5} \times \frac{3}{7} \times \frac{15}{16} \times (\frac{ - 14}{9} )$

$= > \: ( \frac{ - 4}{5} \times \frac{15}{16} ) \times \binom{3}{7} \times ( \frac{ - 14}{9} )$

[ ↑ Using commutativity and Associativity ] ...

$\frac{ - 3}{4} \times ( \frac{ - 2}{3} ) = \frac{1}{2}$