Solve 62/5x=51/3

$$6 \frac { 2 } { 5 } x = 5 \frac { 1 } { 3 }$$

Solve for x

$$x=\frac{5}{6}\approx 0.833333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(6\times 5+2\right)x=5\left(5\times 3+1\right)$$

Multiply 6 and 5 to get 30.

$$3\left(30+2\right)x=5\left(5\times 3+1\right)$$

Add 30 and 2 to get 32.

$$3\times 32x=5\left(5\times 3+1\right)$$

Multiply 3 and 32 to get 96.

$$96x=5\left(5\times 3+1\right)$$

Multiply 5 and 3 to get 15.

$$96x=5\left(15+1\right)$$

Add 15 and 1 to get 16.

$$96x=5\times 16$$

Multiply 5 and 16 to get 80.

$$96x=80$$

Divide both sides by 96.

$$x=\frac{80}{96}$$

Reduce the fraction \frac{80}{96} to lowest terms by extracting and canceling out 16.

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