Solve (0.027/0.003+0.0016/0.002)*1/10

$$( \frac { 0.027 } { 0.003 } + \frac { 0.0016 } { 0.002 } ) \cdot \frac { 1 } { 10 }$$

Evaluate

$$0.98$$

Solution Steps

Expand \frac{0.027}{0.003} by multiplying both numerator and the denominator by 1000.

$$\left(\frac{27}{3}+\frac{0.0016}{0.002}\right)\times \frac{1}{10}$$

Divide 27 by 3 to get 9.

$$\left(9+\frac{0.0016}{0.002}\right)\times \frac{1}{10}$$

Expand \frac{0.0016}{0.002} by multiplying both numerator and the denominator by 10000.

$$\left(9+\frac{16}{20}\right)\times \frac{1}{10}$$

Reduce the fraction \frac{16}{20} to lowest terms by extracting and canceling out 4.

$$\left(9+\frac{4}{5}\right)\times \frac{1}{10}$$

Convert 9 to fraction \frac{45}{5}.

$$\left(\frac{45}{5}+\frac{4}{5}\right)\times \frac{1}{10}$$

Since \frac{45}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$\frac{45+4}{5}\times \frac{1}{10}$$

Add 45 and 4 to get 49.

$$\frac{49}{5}\times \frac{1}{10}$$

Multiply \frac{49}{5} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 1}{5\times 10}$$

Do the multiplications in the fraction \frac{49\times 1}{5\times 10}.

$$\frac{49}{50}$$

Factor

$$\frac{7 ^ {2}}{2 \cdot 5 ^ {2}} = 0.98$$