Question

a+5/6−a+1/9=a+3/4
Pls explain with steps
Will mark as brainliest!

Answer 1

Given,

$\bold{a+\frac{5}{6}-a+\frac{1}{9}=a+\frac{3}{4}}$

$\implies\bold{\frac{5}{6}-\frac{1}{9}=a+\frac{3}{4}}$  

[Since 'a's on LHS are cancelled (a - a = 0)]

$\implies\bold{\frac{(5\times9)-(6\times1)}{(6\times9)}=a+\frac{3}{4}}$

$\implies\bold{\frac{41}{45}=a+\frac{3}{4}}$

$\implies{\bold{\frac{41}{45}-\frac{3}{4}=a}$

$\implies\bold{\frac{(41\times4)-(3\times45)}{(45\times4)}=a}$

$\implies{\bold{\frac{29}{180}=a}}$

$\boxed{\bold{\therefore a=\frac{29}{180}}}$