Question

\frac{x}{2} + \frac{5}{9 } = \frac{2x}{3}
2
x
​
+
9
5
​
=
3
2x
​

find the value of x please fast give me a answer with solution​

Answer 1

$\frac{x}{2} + \frac{5}{9} = \frac{2x}{3}$

$\frac{5}{9} = \frac{2x}{3} - \frac{x}{2}$

$\frac{5}{9} = \frac{4x}{6} - \frac{3x}{6}$

$\frac{5}{9} = \frac{x}{6}$

$\frac{x}{6} = \frac{5}{9}$

$x = \frac{5}{9} × 6$

$x = \frac{5}{3} × 2$

$x = \frac{10}{3}$

Answer 2

• GIVEN :-

• Given Mixed Fraction

• TO FIND :-

• The value of x

• SOLUTION :-

$⟶ \frac{x}{2} + \frac{5}{9} = \frac{2x}{3}$

$⟶ \frac{5}{9} = \frac{2x}{3} - \frac{x}{2}$

$⟶ \frac{5}{9} = \frac{2 \times 2x}{3 \times 2} - \frac{3 \times x}{2 \times 3}$

$⟶ \frac{5}{9} = \frac{4x}{6} - \frac{3x}{6}$

$⟶ \frac{5}{9} = \frac{x}{6}$

$⟶ \frac{x}{6} = \frac{5}{9}$

$⟶x = \frac{5}{9} \times 6$

$⟶ \frac{5}{3} \times 2$

$⟶ \frac{5 \times 2}{3}$

$⟶\frac{\cancel{10}}{\cancel{3}}$

$⟶3.333...$

⛬ The value of x is 3.333 (Approx)