Solve x+1/x=61/30

$$\frac { x + 1 } { x } = \frac { 61 } { 30 }$$

Solve for x

$$x=\frac{30}{31}\approx 0.967741935$$

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 30x, the least common multiple of x,30.

$$30\left(x+1\right)=61x$$

Use the distributive property to multiply 30 by x+1.

$$30x+30=61x$$

Subtract 61x from both sides.

$$30x+30-61x=0$$

Combine 30x and -61x to get -31x.

$$-31x+30=0$$

Subtract 30 from both sides. Anything subtracted from zero gives its negation.

$$-31x=-30$$

Divide both sides by -31.

$$x=\frac{-30}{-31}$$

Fraction \frac{-30}{-31} can be simplified to \frac{30}{31} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{30}{31}$$