Solve 1/3*52/5*0.1

$$\frac { 1 } { 3 } \times 5 \frac { 2 } { 5 } \times 0.1$$

Evaluate

$$0.18$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{1}{3}\times \frac{25+2}{5}\times 0.1$$

Add 25 and 2 to get 27.

$$\frac{1}{3}\times \frac{27}{5}\times 0.1$$

Multiply \frac{1}{3} times \frac{27}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 27}{3\times 5}\times 0.1$$

Do the multiplications in the fraction \frac{1\times 27}{3\times 5}.

$$\frac{27}{15}\times 0.1$$

Reduce the fraction \frac{27}{15} to lowest terms by extracting and canceling out 3.

$$\frac{9}{5}\times 0.1$$

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$\frac{9}{5}\times \frac{1}{10}$$

Multiply \frac{9}{5} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 1}{5\times 10}$$

Do the multiplications in the fraction \frac{9\times 1}{5\times 10}.

$$\frac{9}{50}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5 ^ {2}} = 0.18$$