Solve 2/3div5*2div2/3

$$\frac{ 2 }{ 3 } \div 5 \times 2 \div \frac{ 2 }{ 3 }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Express \frac{\frac{2}{3}}{5} as a single fraction.

$$\frac{\frac{2}{3\times 5}\times 2}{\frac{2}{3}}$$

Multiply 3 and 5 to get 15.

$$\frac{\frac{2}{15}\times 2}{\frac{2}{3}}$$

Express \frac{2}{15}\times 2 as a single fraction.

$$\frac{\frac{2\times 2}{15}}{\frac{2}{3}}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{4}{15}}{\frac{2}{3}}$$

Divide \frac{4}{15} by \frac{2}{3} by multiplying \frac{4}{15} by the reciprocal of \frac{2}{3}.

$$\frac{4}{15}\times \frac{3}{2}$$

Multiply \frac{4}{15} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 3}{15\times 2}$$

Do the multiplications in the fraction \frac{4\times 3}{15\times 2}.

$$\frac{12}{30}$$

Reduce the fraction \frac{12}{30} to lowest terms by extracting and canceling out 6.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$