Solve 2/7(4n+3)-1/2n

$$\frac { 2 } { 7 } ( 4 n + 3 ) - \frac { 1 } { 2 } n$$

Evaluate

$$\frac{9n}{14}+\frac{6}{7}$$

Solution Steps

Use the distributive property to multiply \frac{2}{7} by 4n+3.

$$\frac{2}{7}\times 4n+\frac{2}{7}\times 3-\frac{1}{2}n$$

Express \frac{2}{7}\times 4 as a single fraction.

$$\frac{2\times 4}{7}n+\frac{2}{7}\times 3-\frac{1}{2}n$$

Multiply 2 and 4 to get 8.

$$\frac{8}{7}n+\frac{2}{7}\times 3-\frac{1}{2}n$$

Express \frac{2}{7}\times 3 as a single fraction.

$$\frac{8}{7}n+\frac{2\times 3}{7}-\frac{1}{2}n$$

Multiply 2 and 3 to get 6.

$$\frac{8}{7}n+\frac{6}{7}-\frac{1}{2}n$$

Combine \frac{8}{7}n and -\frac{1}{2}n to get \frac{9}{14}n.

$$\frac{9}{14}n+\frac{6}{7}$$

Expand

$$\frac{9n}{14}+\frac{6}{7}$$

Solution Steps

Use the distributive property to multiply \frac{2}{7} by 4n+3.

$$\frac{2}{7}\times 4n+\frac{2}{7}\times 3-\frac{1}{2}n$$

Express \frac{2}{7}\times 4 as a single fraction.

$$\frac{2\times 4}{7}n+\frac{2}{7}\times 3-\frac{1}{2}n$$

Multiply 2 and 4 to get 8.

$$\frac{8}{7}n+\frac{2}{7}\times 3-\frac{1}{2}n$$

Express \frac{2}{7}\times 3 as a single fraction.

$$\frac{8}{7}n+\frac{2\times 3}{7}-\frac{1}{2}n$$

Multiply 2 and 3 to get 6.

$$\frac{8}{7}n+\frac{6}{7}-\frac{1}{2}n$$

Combine \frac{8}{7}n and -\frac{1}{2}n to get \frac{9}{14}n.

$$\frac{9}{14}n+\frac{6}{7}$$