Solve {l}{x27/125+1*4/125+2*36/125}{+3*8/125}

$$\left. \begin{array} { l } { x \frac { 27 } { 125 } + 1 \times \frac { 4 } { 125 } + 2 \times \frac { 36 } { 125 } } \\ { + 3 \times \frac { 8 } { 125 } } \end{array} \right.$$

Evaluate

$$\frac{27x}{125}+\frac{4}{5}$$

Solution Steps

Multiply 1 and \frac{4}{125} to get \frac{4}{125}.

$$x\times \frac{27}{125}+\frac{4}{125}+2\times \frac{36}{125}+3\times \frac{8}{125}$$

Express 2\times \frac{36}{125} as a single fraction.

$$x\times \frac{27}{125}+\frac{4}{125}+\frac{2\times 36}{125}+3\times \frac{8}{125}$$

Multiply 2 and 36 to get 72.

$$x\times \frac{27}{125}+\frac{4}{125}+\frac{72}{125}+3\times \frac{8}{125}$$

Since \frac{4}{125} and \frac{72}{125} have the same denominator, add them by adding their numerators.

$$x\times \frac{27}{125}+\frac{4+72}{125}+3\times \frac{8}{125}$$

Add 4 and 72 to get 76.

$$x\times \frac{27}{125}+\frac{76}{125}+3\times \frac{8}{125}$$

Express 3\times \frac{8}{125} as a single fraction.

$$x\times \frac{27}{125}+\frac{76}{125}+\frac{3\times 8}{125}$$

Multiply 3 and 8 to get 24.

$$x\times \frac{27}{125}+\frac{76}{125}+\frac{24}{125}$$

Since \frac{76}{125} and \frac{24}{125} have the same denominator, add them by adding their numerators.

$$x\times \frac{27}{125}+\frac{76+24}{125}$$

Add 76 and 24 to get 100.

$$x\times \frac{27}{125}+\frac{100}{125}$$

Reduce the fraction \frac{100}{125} to lowest terms by extracting and canceling out 25.

$$x\times \frac{27}{125}+\frac{4}{5}$$

Factor

$$\frac{27x+100}{125}$$

Solution Steps

Factor out \frac{1}{125}.

$$\frac{27x+100}{125}$$

Consider 27x+4+72+24. Multiply and combine like terms.

$$27x+100$$

Rewrite the complete factored expression.

$$\frac{27x+100}{125}$$