Question

Using appropriate properties.find.1/2-1/6×-2/3+7/9×-1/6

Answer 1

Given,

$\displaystyle\sf{(\frac{1}{2})-(\frac{1}{6}\times\frac{-2}{3})+(\frac{7}{9}\times\frac{-1}{6})$

$\implies\displaystyle\sf{\frac{1}{2}+\frac{2}{18}-\frac{7}{54}$

Here, the LCM is 54.

Take a common denominator as 54,

$\implies\displaystyle\sf{(\frac{1\times27}{2\times27})+(\frac{2\times3}{18\times3})-(\frac{7\times1}{54\times1})$

$\implies\displaystyle\sf{\frac{27}{54}+\frac{6}{54}-\frac{7}{54}$

$\implies\displaystyle\sf{\frac{27+6-7}{54}$

$\implies\displaystyle\sf{\frac{26}{54}$

$\implies\displaystyle\sf{\frac{13}{27}$

$\boxed{\displaystyle\sf{(\frac{1}{2})-(\frac{1}{6}\times\frac{-2}{3})+(\frac{7}{9}\times\frac{-1}{6})=\bold{\frac{13}{27}}}}$