Solve 21/a+3/8+15/8=

$$2 \frac { 1 } { a } + \frac { 3 } { 8 } + 1 \frac { 5 } { 8 } =$$

Evaluate

$$2+\frac{2}{a}$$

Short Solution Steps

Express 2\times \frac{1}{a} as a single fraction.

$$\frac{2}{a}+\frac{3}{8}+\frac{1\times 8+5}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{2}{a}+\frac{3}{8}+\frac{8+5}{8}$$

Add 8 and 5 to get 13.

$$\frac{2}{a}+\frac{3}{8}+\frac{13}{8}$$

Since \frac{3}{8} and \frac{13}{8} have the same denominator, add them by adding their numerators.

$$\frac{2}{a}+\frac{3+13}{8}$$

Add 3 and 13 to get 16.

$$\frac{2}{a}+\frac{16}{8}$$

Divide 16 by 8 to get 2.

$$\frac{2}{a}+2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{a}{a}.

$$\frac{2}{a}+\frac{2a}{a}$$

Since \frac{2}{a} and \frac{2a}{a} have the same denominator, add them by adding their numerators.

$$\frac{2+2a}{a}$$

Expand

$$2+\frac{2}{a}$$

Short Solution Steps

Express 2\times \frac{1}{a} as a single fraction.

$$\frac{2}{a}+\frac{3}{8}+\frac{1\times 8+5}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{2}{a}+\frac{3}{8}+\frac{8+5}{8}$$

Add 8 and 5 to get 13.

$$\frac{2}{a}+\frac{3}{8}+\frac{13}{8}$$

Since \frac{3}{8} and \frac{13}{8} have the same denominator, add them by adding their numerators.

$$\frac{2}{a}+\frac{3+13}{8}$$

Add 3 and 13 to get 16.

$$\frac{2}{a}+\frac{16}{8}$$

Divide 16 by 8 to get 2.

$$\frac{2}{a}+2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{a}{a}.

$$\frac{2}{a}+\frac{2a}{a}$$

Since \frac{2}{a} and \frac{2a}{a} have the same denominator, add them by adding their numerators.

$$\frac{2+2a}{a}$$