Question

simplify using distributive property:

5/9×(-3/10)+(-3/10)×2/3​

Answer 1

Step-by-step explanation:

-5/30-3/15

-5-6/30

-11/30

Answer 2

Answer:

$(\frac{5}{9} \times \frac{ - 3}{10} ) + ( \frac{ - 3}{10} \times \frac{2}{3} ) \\ = (\frac{_{1 \: \: } \cancel 5}{ _{3 \: \: } \cancel 9} \times \frac{ \cancel{ - 3} _{ \: \: - 1} }{ \cancel{ 10} _{ \: \: 2} } ) + ( \frac{ _{ - 1 \: \: } \cancel{ - 3}}{_{5 \: \: } \cancel{ 10}} \times \frac{ \cancel 2 _{ \: \: 1}}{ \cancel 3 _{ \: \: 1} } ) \\ = ( \frac{1}{3} \times \frac{ - 1}{2} ) + \frac{ - 1}{5} \\ = \frac{ - 1}{6} + \frac{ - 1}{5} \\ = \frac{ - 5 + ( - 6)}{30} \\ = \frac{ - 5 - 6}{30} \\ \boxed{ = \underline{ \underline{ \frac{ - 11}{30} }}}$