Question

$\text{Solve for x:}$

$\frac{2x}{3}+\frac{10}{11}=\frac{18}{11}$

• A. $x=2\frac{2}{11}$
• B. $x=\frac{11}{12}$
• C. $x=1\frac{1}{11}$
• D. $x=12$

Answer 1

The correct option is C $x=1\frac{1}{11}$

$\text{Given,}\frac{2x}{3}+\frac{10}{11}=\frac{18}{11}$

$\text{Transposing}\frac{10}{11}\text{to RHS, we get,}$

$\frac{2x}{3}=\frac{18}{11}-\frac{10}{11}$

$\frac{2x}{3}=\frac{18-10}{11}$

$\frac{2x}{3}=\frac{8}{11}$

Cross multiplying, we get,

$22x=24$

$x=\frac{24}{22}$

$x=\frac{12}{11}\text{or}1\frac{1}{11}$