Question

Verify associative property of addition, if a = 5/3, b=-1/2 and c=2/5?

Answer 1

Answer:

$\frac{47}{30}$

Step-by-step explanation:

associative rule :(a+b)+c=a+(bc)

here we need to prove:

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

LHS:

$(( \frac{5}{3} ) + ( \frac{ - 1}{2} ) )+ \frac{2}{5} \\ ( \frac{5}{3} - \frac{1}{2} ) + \frac{2}{5} \\ \frac{10 - 3}{6} + \frac{2}{5} \\ \frac{ 7}{6} + \frac{2}{5} \\ \frac{35 + 12}{30} \\ = \frac{47}{30}$

RHS:

$( \frac{5}{3} ) + (( \frac{ - 1}{2} ) + \frac{2}{5} )\\ \frac{5}{3} + ( - \frac{1}{2} + \frac{2}{5} ) \\ \frac{5}{3} + ( \frac{ - 5 + 4}{10}) \\ \frac{ 5}{3} - \frac{1}{10} \\ \frac{ 50 - 3}{30} \\ = \frac{47}{30}$LHS=RHS

Hence it is proved