Solve 514*(1+10%)

$$514 \times ( 1 + 10 \% )$$

Evaluate

$$\frac{2827}{5}=565.4$$

Solution Steps

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$514\left(1+\frac{1}{10}\right)$$

Convert 1 to fraction \frac{10}{10}.

$$514\left(\frac{10}{10}+\frac{1}{10}\right)$$

Since \frac{10}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$514\times \frac{10+1}{10}$$

Add 10 and 1 to get 11.

$$514\times \frac{11}{10}$$

Express 514\times \frac{11}{10} as a single fraction.

$$\frac{514\times 11}{10}$$

Multiply 514 and 11 to get 5654.

$$\frac{5654}{10}$$

Reduce the fraction \frac{5654}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2827}{5}$$

Factor

$$\frac{11 \cdot 257}{5} = 565\frac{2}{5} = 565.4$$