Question

The associative property satisfied with respect to addition. if a= - 3/15, b=2/7, and c =- 8/3 then value of LHS and RHS is

Answer 1

Step-by-step explanation:

a=-3/15

b=2/7

c=8/3

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

(-3/15+2/7)+8/3= -3/15(2/7+8/3)

lcm of 15&7 is 105 ;lcm of 7&3 is 21

$(\frac{ - 3}{15} \times \frac{7}{7} + \frac{2}{7} \times \frac{15}{15} ) + \frac{8}{3} = \frac{ - 3}{15} ( \frac{2}{7} \times \frac{3}{3} + \frac{8}{3} \times \frac{7}{7} )$

$(\frac{ - 21}{105} + \frac{30}{105} ) + \frac{8}{3} = \frac{ - 3}{15} ( \frac{6}{21} + \frac{56}{21} )$

$\frac{9}{105} + \frac{8}{3} = \frac{ - 3}{15} + \frac{62}{21}$

lcm of 105 and 3 is 35;lcm of 15 and 21 is 105

$\frac{9}{105} + \frac{280}{105} = \frac{ - 21}{105} + \frac{310}{105}$

$\frac{289}{105} = \frac{289}{105}$

LHS=RHS

HENCE VERIFIED