Question

simplify the following using distributive property.

1). (-5/6)×9/20+(-5/6)×7/25
2). (-6/15)×(7/8)-(-6/15)×(-5/12)

plz solve step by step​

Answer 1

Answer:

$1)( (\frac{ - 5}{6} ) \times \frac{9}{20} ) + (( \frac{ - 5}{6} ) \times \frac{7}{25} )$

distributive property :

(a x b) + (a x c) = a x (b + c)

$= ( \frac{ - 5}{6} ) \times ( \frac{9}{20} + \frac{7}{25} )$

$= ( \frac{ - 5}{6} ) \times ( \frac{9(5) + 7(4)}{100} )$

$= ( \frac{ - 1}{6} ) \times ( \frac{45 + 28}{20} )$

$= ( \frac{ - 1}{6} ) \times ( \frac{73}{20} )$

$= \frac{ - 73}{120}$

$2)( (\frac{ -6 }{15} ) \times \frac{7}{8} ) - (( \frac{ - 6}{15} ) \times (\frac{ - 5}{12} ))$

$= ( \frac{ - 6}{15} ) \times ( \frac{7}{8} - ( \frac{ - 5}{12} )$

$= ( \frac{ - 6}{15} ) \times ( \frac{7(3) - ( - 5 \times 2)}{24} )$

$= ( \frac{ - 1}{15} ) \times ( \frac{21 + 10}{4} )$

$= ( \frac{ - 1}{15} ) \times ( \frac{31}{4} )$

$= \frac{ - 31}{60}$