Question

using appropriate properties find: (-1/5)×1/7+1/7×(-2/3)-5/12​

Answer 1

Answer:

$\frac{-227}{420}$

Step-by-step explanation:

$(\frac{-1}{5} * \frac{1}{7} )$ + $(\frac{1}{7} * \frac{-2}{3} )$ - $\frac{5}{12}$

= $\frac{1}{7} (\frac{-1}{5} - \frac{2}{3} )$ -  $\frac{5}{12}$

= $\frac{1}{7} (\frac{-3-10}{15} )$ -  $\frac{5}{12}$

=  $\frac{1}{7} (\frac{-13}{15} )$ -  $\frac{5}{12}$

= $(-\frac{1}{7} * \frac{13}{15} )$ -  $\frac{5}{12}$

= $-\frac{13}{105}$ -  $\frac{5}{12}$

=  $\frac{-(13*4) - (5 * 35) }{420}$

= $\frac{-52 - 175 }{420}$  

=  $\frac{-227}{420}$