Solve 2-1/35/x=4/15

$$\frac { 2 - \frac { 1 } { 3 } 5 } { x } = \frac { 4 } { 15 }$$

Solve for x

$$x = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 15x, the least common multiple of x,15.

$$15\left(2-\frac{1}{3}\times 5\right)=4x$$

Multiply \frac{1}{3} and 5 to get \frac{5}{3}.

$$15\left(2-\frac{5}{3}\right)=4x$$

Convert 2 to fraction \frac{6}{3}.

$$15\left(\frac{6}{3}-\frac{5}{3}\right)=4x$$

Since \frac{6}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$15\times \frac{6-5}{3}=4x$$

Subtract 5 from 6 to get 1.

$$15\times \frac{1}{3}=4x$$

Multiply 15 and \frac{1}{3} to get \frac{15}{3}.

$$\frac{15}{3}=4x$$

Divide 15 by 3 to get 5.

$$5=4x$$

Swap sides so that all variable terms are on the left hand side.

$$4x=5$$

Divide both sides by 4.

$$x=\frac{5}{4}$$