Question

7/6+(19/13+17/21)=(7/6+19/3)+17/21

Answer 1

$Herewehavetoproveassociativeproperty:$

$i.ea+(b+c)=(a+b)+c$

$i.eLHS=RHS$

$hereLHS=\frac{7}{6}+(\frac{19}{13}+\frac{17}{21})=\frac{7}{6}+\left(\frac{399+221}{273}\right)$

$=\frac{7}{6}+\frac{620}{273}$

$=\frac{637+1240}{546}$

$=\frac{1877}{546}$

$nowRHS=(\frac{7}{6}+\frac{19}{13})+\frac{17}{21}$

$=\left(\frac{91+114}{78}\right)+\frac{17}{21}$

$=\left(\frac{205}{78}\right)+\frac{17}{21}$

$=\frac{1435+442}{546}$

$=\frac{1877}{546}$

$HenceLHS=RHS$