Solve 2/5*3/5div1/10

$$\frac{ 2 }{ 5 } \times \frac{ 3 }{ 5 } \div \frac{ 1 }{ 10 }$$

Evaluate

$$\frac{12}{5}=2.4$$

Solution Steps

Multiply \frac{2}{5} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2\times 3}{5\times 5}}{\frac{1}{10}}$$

Do the multiplications in the fraction \frac{2\times 3}{5\times 5}.

$$\frac{\frac{6}{25}}{\frac{1}{10}}$$

Divide \frac{6}{25} by \frac{1}{10} by multiplying \frac{6}{25} by the reciprocal of \frac{1}{10}.

$$\frac{6}{25}\times 10$$

Express \frac{6}{25}\times 10 as a single fraction.

$$\frac{6\times 10}{25}$$

Multiply 6 and 10 to get 60.

$$\frac{60}{25}$$

Reduce the fraction \frac{60}{25} to lowest terms by extracting and canceling out 5.

$$\frac{12}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4$$