Question

{7/5×(-3/12)}+{(-7/5)×5/12}

Answer 1

Answer:

ans is -14/25 steps are shown below....

Step-by-step explanation:

{7/5*(-3/12)}+{(-7/5)*5/12}

= {-21/60}+{-35/60}

={-7/20}+{-7/12}

={-21+(-35/60)} (LCM of 12&20is 60)

=-21-35/60

=-56/60(both are divided by 2)

=-14/15

Answer 2

In the following question, we need to apply distributive property over addition.

Over here we can substitute the negative sign from $\frac{-7}{5}$ to $\frac{5}{12}$ which would be -

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

Now we can apply the distributive property since both the sides have common rational numbers.

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

We can solve this now

$\frac{7}{5} * \frac{-8}{12}$

$\frac{7}{5} * \frac{-2}{3} = \frac{-14}{15}$

∴ The answer is $\frac{-14}{15}$.