Solve x*42/5div6/7=

$$x \cdot 4 \frac { 2 } { 5 } \div \frac { 6 } { 7 } =$$

Evaluate

$$\frac{77x}{15}$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{x\times \frac{20+2}{5}}{\frac{6}{7}}$$

Add 20 and 2 to get 22.

$$\frac{x\times \frac{22}{5}}{\frac{6}{7}}$$

Divide x\times \frac{22}{5} by \frac{6}{7} by multiplying x\times \frac{22}{5} by the reciprocal of \frac{6}{7}.

$$\frac{x\times \frac{22}{5}\times 7}{6}$$

Express \frac{22}{5}\times 7 as a single fraction.

$$\frac{x\times \frac{22\times 7}{5}}{6}$$

Multiply 22 and 7 to get 154.

$$\frac{x\times \frac{154}{5}}{6}$$

Divide x\times \frac{154}{5} by 6 to get x\times \frac{77}{15}.

$$x\times \frac{77}{15}$$

Expand

$$\frac{77x}{15}$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{x\times \frac{20+2}{5}}{\frac{6}{7}}$$

Add 20 and 2 to get 22.

$$\frac{x\times \frac{22}{5}}{\frac{6}{7}}$$

Divide x\times \frac{22}{5} by \frac{6}{7} by multiplying x\times \frac{22}{5} by the reciprocal of \frac{6}{7}.

$$\frac{x\times \frac{22}{5}\times 7}{6}$$

Express \frac{22}{5}\times 7 as a single fraction.

$$\frac{x\times \frac{22\times 7}{5}}{6}$$

Multiply 22 and 7 to get 154.

$$\frac{x\times \frac{154}{5}}{6}$$

Divide x\times \frac{154}{5} by 6 to get x\times \frac{77}{15}.

$$x\times \frac{77}{15}$$