Solve 1+7/c-1/1-frac{7{8}}

$$\frac { 1 + \frac { 7 } { c - 1 } } { 1 - \frac { 7 } { 8 } }$$

Evaluate

$$\frac{8\left(c+6\right)}{c-1}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{c-1}{c-1}.

$$\frac{\frac{c-1}{c-1}+\frac{7}{c-1}}{1-\frac{7}{8}}$$

Since \frac{c-1}{c-1} and \frac{7}{c-1} have the same denominator, add them by adding their numerators.

$$\frac{\frac{c-1+7}{c-1}}{1-\frac{7}{8}}$$

Combine like terms in c-1+7.

$$\frac{\frac{c+6}{c-1}}{1-\frac{7}{8}}$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{\frac{c+6}{c-1}}{\frac{8}{8}-\frac{7}{8}}$$

Since \frac{8}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{c+6}{c-1}}{\frac{8-7}{8}}$$

Subtract 7 from 8 to get 1.

$$\frac{\frac{c+6}{c-1}}{\frac{1}{8}}$$

Divide \frac{c+6}{c-1} by \frac{1}{8} by multiplying \frac{c+6}{c-1} by the reciprocal of \frac{1}{8}.

$$\frac{\left(c+6\right)\times 8}{c-1}$$

Use the distributive property to multiply c+6 by 8.

$$\frac{8c+48}{c-1}$$

Expand

$$\frac{8\left(c+6\right)}{c-1}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{c-1}{c-1}.

$$\frac{\frac{c-1}{c-1}+\frac{7}{c-1}}{1-\frac{7}{8}}$$

Since \frac{c-1}{c-1} and \frac{7}{c-1} have the same denominator, add them by adding their numerators.

$$\frac{\frac{c-1+7}{c-1}}{1-\frac{7}{8}}$$

Combine like terms in c-1+7.

$$\frac{\frac{c+6}{c-1}}{1-\frac{7}{8}}$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{\frac{c+6}{c-1}}{\frac{8}{8}-\frac{7}{8}}$$

Since \frac{8}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{c+6}{c-1}}{\frac{8-7}{8}}$$

Subtract 7 from 8 to get 1.

$$\frac{\frac{c+6}{c-1}}{\frac{1}{8}}$$

Divide \frac{c+6}{c-1} by \frac{1}{8} by multiplying \frac{c+6}{c-1} by the reciprocal of \frac{1}{8}.

$$\frac{\left(c+6\right)\times 8}{c-1}$$

Use the distributive property to multiply c+6 by 8.

$$\frac{8c+48}{c-1}$$