Solve 1/4delta_{0}22/7div3/5

$$\frac { 1 } { 4 } \delta _ { 0 } 2 \frac { 2 } { 7 } \div \frac { 3 } { 5 }$$

Evaluate

$$\frac{20\delta _{0}}{21}$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{\frac{1}{4}\delta _{0}\times \frac{14+2}{7}}{\frac{3}{5}}$$

Add 14 and 2 to get 16.

$$\frac{\frac{1}{4}\delta _{0}\times \frac{16}{7}}{\frac{3}{5}}$$

Multiply \frac{1}{4} times \frac{16}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 16}{4\times 7}\delta _{0}}{\frac{3}{5}}$$

Do the multiplications in the fraction \frac{1\times 16}{4\times 7}.

$$\frac{\frac{16}{28}\delta _{0}}{\frac{3}{5}}$$

Reduce the fraction \frac{16}{28} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{4}{7}\delta _{0}}{\frac{3}{5}}$$

Divide \frac{4}{7}\delta _{0} by \frac{3}{5} by multiplying \frac{4}{7}\delta _{0} by the reciprocal of \frac{3}{5}.

$$\frac{\frac{4}{7}\delta _{0}\times 5}{3}$$

Express \frac{4}{7}\times 5 as a single fraction.

$$\frac{\frac{4\times 5}{7}\delta _{0}}{3}$$

Multiply 4 and 5 to get 20.

$$\frac{\frac{20}{7}\delta _{0}}{3}$$

Divide \frac{20}{7}\delta _{0} by 3 to get \frac{20}{21}\delta _{0}.

$$\frac{20}{21}\delta _{0}$$

Expand

$$\frac{20\delta _{0}}{21}$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{\frac{1}{4}\delta _{0}\times \frac{14+2}{7}}{\frac{3}{5}}$$

Add 14 and 2 to get 16.

$$\frac{\frac{1}{4}\delta _{0}\times \frac{16}{7}}{\frac{3}{5}}$$

Multiply \frac{1}{4} times \frac{16}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 16}{4\times 7}\delta _{0}}{\frac{3}{5}}$$

Do the multiplications in the fraction \frac{1\times 16}{4\times 7}.

$$\frac{\frac{16}{28}\delta _{0}}{\frac{3}{5}}$$

Reduce the fraction \frac{16}{28} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{4}{7}\delta _{0}}{\frac{3}{5}}$$

Divide \frac{4}{7}\delta _{0} by \frac{3}{5} by multiplying \frac{4}{7}\delta _{0} by the reciprocal of \frac{3}{5}.

$$\frac{\frac{4}{7}\delta _{0}\times 5}{3}$$

Express \frac{4}{7}\times 5 as a single fraction.

$$\frac{\frac{4\times 5}{7}\delta _{0}}{3}$$

Multiply 4 and 5 to get 20.

$$\frac{\frac{20}{7}\delta _{0}}{3}$$

Divide \frac{20}{7}\delta _{0} by 3 to get \frac{20}{21}\delta _{0}.

$$\frac{20}{21}\delta _{0}$$