Solve -13/5/frac{2{7}x+11/4}

$$\frac{ -1 \frac{ 3 }{ 5 } }{ \frac{ 2 }{ 7 } x+1 \frac{ 1 }{ 4 } }$$

Evaluate

$$-\frac{224}{5\left(8x+35\right)}$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{-\frac{5+3}{5}}{\frac{2}{7}x+\frac{1\times 4+1}{4}}$$

Add 5 and 3 to get 8.

$$\frac{-\frac{8}{5}}{\frac{2}{7}x+\frac{1\times 4+1}{4}}$$

Multiply 1 and 4 to get 4.

$$\frac{-\frac{8}{5}}{\frac{2}{7}x+\frac{4+1}{4}}$$

Add 4 and 1 to get 5.

$$\frac{-\frac{8}{5}}{\frac{2}{7}x+\frac{5}{4}}$$

Express \frac{-\frac{8}{5}}{\frac{2}{7}x+\frac{5}{4}} as a single fraction.

$$\frac{-8}{5\left(\frac{2}{7}x+\frac{5}{4}\right)}$$

Use the distributive property to multiply 5 by \frac{2}{7}x+\frac{5}{4}.

$$\frac{-8}{5\times \frac{2}{7}x+5\times \frac{5}{4}}$$

Express 5\times \frac{2}{7} as a single fraction.

$$\frac{-8}{\frac{5\times 2}{7}x+5\times \frac{5}{4}}$$

Multiply 5 and 2 to get 10.

$$\frac{-8}{\frac{10}{7}x+5\times \frac{5}{4}}$$

Express 5\times \frac{5}{4} as a single fraction.

$$\frac{-8}{\frac{10}{7}x+\frac{5\times 5}{4}}$$

Multiply 5 and 5 to get 25.

$$\frac{-8}{\frac{10}{7}x+\frac{25}{4}}$$

Expand

$$-\frac{8}{5\left(\frac{2x}{7}+\frac{5}{4}\right)}$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{-\frac{5+3}{5}}{\frac{2}{7}x+\frac{1\times 4+1}{4}}$$

Add 5 and 3 to get 8.

$$\frac{-\frac{8}{5}}{\frac{2}{7}x+\frac{1\times 4+1}{4}}$$

Multiply 1 and 4 to get 4.

$$\frac{-\frac{8}{5}}{\frac{2}{7}x+\frac{4+1}{4}}$$

Add 4 and 1 to get 5.

$$\frac{-\frac{8}{5}}{\frac{2}{7}x+\frac{5}{4}}$$

Express \frac{-\frac{8}{5}}{\frac{2}{7}x+\frac{5}{4}} as a single fraction.

$$\frac{-8}{5\left(\frac{2}{7}x+\frac{5}{4}\right)}$$

Use the distributive property to multiply 5 by \frac{2}{7}x+\frac{5}{4}.

$$\frac{-8}{5\times \frac{2}{7}x+5\times \frac{5}{4}}$$

Express 5\times \frac{2}{7} as a single fraction.

$$\frac{-8}{\frac{5\times 2}{7}x+5\times \frac{5}{4}}$$

Multiply 5 and 2 to get 10.

$$\frac{-8}{\frac{10}{7}x+5\times \frac{5}{4}}$$

Express 5\times \frac{5}{4} as a single fraction.

$$\frac{-8}{\frac{10}{7}x+\frac{5\times 5}{4}}$$

Multiply 5 and 5 to get 25.

$$\frac{-8}{\frac{10}{7}x+\frac{25}{4}}$$