Question

( 7/5 + 2/5 ) + 5/3 = 7/5 ( 2/7 + 5/3 ) verify by associative property​

Answer 1

Answer:

Step-by-step explanation:

$LHS =( \dfrac{7}{5}+\dfrac{2}{5})+\dfrac{5}{3}\\\\=\dfrac{7+2}{5}+\dfrac{5}{3}\\\\=\dfrac{9}{5}+\dfrac{5}{3}\\\\=\dfrac{9*3}{5*3}+\dfrac{5*5}{3*5}\\\\=\dfrac{27}{15}+\dfrac{25}{15}\\\\=\dfrac{27+25}{15}\\\\=\dfrac{52}{15}$

$RHS = \dfrac{7}{5}+(\dfrac{2}{5}+\dfrac{5}{3})\\\\=\dfrac{7}{5}+(\dfrac{2*3}{5*3}+\dfrac{5*5}{3*5})\\\\=\dfrac{7}{5}+(\dfrac{6}{15}+\dfrac{25}{15})\\\\=\dfrac{7}{5}+\dfrac{6+25}{15}\\\\=\dfrac{7}{5}+\dfrac{31}{15}\\\\=\dfrac{7*3}{5*3}+\dfrac{31}{15}\\\\=\dfrac{21}{15}+\dfrac{31}{15}\\\\=\dfrac{21+31}{15}\\\\=\dfrac{52}{15}$

LHS = RHS.

Associative property is verified.