Solve 54/2xx^2+25/4%

$$\frac{ 54 }{ 2x } { x }^{ 2 } + \frac{ 25 }{ 4 } \%$$

Evaluate

$$27x+\frac{1}{16}$$

Solution Steps

Express \frac{54}{2x}x^{2} as a single fraction.

$$\frac{54x^{2}}{2x}+\frac{\frac{25}{4}}{100}$$

Cancel out 2x in both numerator and denominator.

$$27x+\frac{\frac{25}{4}}{100}$$

Express \frac{\frac{25}{4}}{100} as a single fraction.

$$27x+\frac{25}{4\times 100}$$

Multiply 4 and 100 to get 400.

$$27x+\frac{25}{400}$$

Reduce the fraction \frac{25}{400} to lowest terms by extracting and canceling out 25.

$$27x+\frac{1}{16}$$

Factor

$$\frac{432x+1}{16}$$

Solution Steps

Express \frac{54}{2x}x^{2} as a single fraction.

$$factor(\frac{54x^{2}}{2x}+\frac{\frac{25}{4}}{100})$$

Cancel out 2x in both numerator and denominator.

$$factor(27x+\frac{\frac{25}{4}}{100})$$

Express \frac{\frac{25}{4}}{100} as a single fraction.

$$factor(27x+\frac{25}{4\times 100})$$

Multiply 4 and 100 to get 400.

$$factor(27x+\frac{25}{400})$$

Reduce the fraction \frac{25}{400} to lowest terms by extracting and canceling out 25.

$$factor(27x+\frac{1}{16})$$

Factor out \frac{1}{16}.

$$\frac{432x+1}{16}$$