Solve 25/4+16/x=121/4

$$\frac{ 25 }{ 4 } + \frac{ 16 }{ x } = \frac{ 121 }{ 4 }$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

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 4x, the least common multiple of 4,x.

$$4x\times \frac{25}{4}+4\times 16=121x$$

Cancel out 4 and 4.

$$25x+4\times 16=121x$$

Multiply 4 and 16 to get 64.

$$25x+64=121x$$

Subtract 121x from both sides.

$$25x+64-121x=0$$

Combine 25x and -121x to get -96x.

$$-96x+64=0$$

Subtract 64 from both sides. Anything subtracted from zero gives its negation.

$$-96x=-64$$

Divide both sides by -96.

$$x=\frac{-64}{-96}$$

Reduce the fraction \frac{-64}{-96} to lowest terms by extracting and canceling out -32.

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