Solve (3+3/50.3)0.27

$$( 3 + \frac { 3 } { 5 } 0.3 ) 0.27$$

Evaluate

$$0.8586$$

Solution Steps

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$\left(3+\frac{3}{5}\times \frac{3}{10}\right)\times 0.27$$

Multiply \frac{3}{5} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\left(3+\frac{3\times 3}{5\times 10}\right)\times 0.27$$

Do the multiplications in the fraction \frac{3\times 3}{5\times 10}.

$$\left(3+\frac{9}{50}\right)\times 0.27$$

Convert 3 to fraction \frac{150}{50}.

$$\left(\frac{150}{50}+\frac{9}{50}\right)\times 0.27$$

Since \frac{150}{50} and \frac{9}{50} have the same denominator, add them by adding their numerators.

$$\frac{150+9}{50}\times 0.27$$

Add 150 and 9 to get 159.

$$\frac{159}{50}\times 0.27$$

Convert decimal number 0.27 to fraction \frac{27}{100}.

$$\frac{159}{50}\times \frac{27}{100}$$

Multiply \frac{159}{50} times \frac{27}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{159\times 27}{50\times 100}$$

Do the multiplications in the fraction \frac{159\times 27}{50\times 100}.

$$\frac{4293}{5000}$$

Factor

$$\frac{53 \cdot 3 ^ {4}}{2 ^ {3} \cdot 5 ^ {4}} = 0.8586$$