Solve 1/8*5+5/8*5+1/810

$$\frac{ 1 }{ 8 } \times 5+ \frac{ 5 }{ 8 } \times 5+ \frac{ 1 }{ 8 } 10$$

Evaluate

$$5$$

Solution Steps

Multiply \frac{1}{8} and 5 to get \frac{5}{8}.

$$\frac{5}{8}+\frac{5}{8}\times 5+\frac{1}{8}\times 10$$

Express \frac{5}{8}\times 5 as a single fraction.

$$\frac{5}{8}+\frac{5\times 5}{8}+\frac{1}{8}\times 10$$

Multiply 5 and 5 to get 25.

$$\frac{5}{8}+\frac{25}{8}+\frac{1}{8}\times 10$$

Since \frac{5}{8} and \frac{25}{8} have the same denominator, add them by adding their numerators.

$$\frac{5+25}{8}+\frac{1}{8}\times 10$$

Add 5 and 25 to get 30.

$$\frac{30}{8}+\frac{1}{8}\times 10$$

Reduce the fraction \frac{30}{8} to lowest terms by extracting and canceling out 2.

$$\frac{15}{4}+\frac{1}{8}\times 10$$

Multiply \frac{1}{8} and 10 to get \frac{10}{8}.

$$\frac{15}{4}+\frac{10}{8}$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$\frac{15}{4}+\frac{5}{4}$$

Since \frac{15}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{15+5}{4}$$

Add 15 and 5 to get 20.

$$\frac{20}{4}$$

Divide 20 by 4 to get 5.

$$5$$

Factor

$$5$$