Solve 2.8*(1+30%)=

$$2.8 \times ( 1 + 30 \% ) =$$

Evaluate

$$3.64$$

Solution Steps

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$2.8\left(1+\frac{3}{10}\right)$$

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

$$2.8\left(\frac{10}{10}+\frac{3}{10}\right)$$

Since \frac{10}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$2.8\times \frac{10+3}{10}$$

Add 10 and 3 to get 13.

$$2.8\times \frac{13}{10}$$

Convert decimal number 2.8 to fraction \frac{28}{10}. Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{14}{5}\times \frac{13}{10}$$

Multiply \frac{14}{5} times \frac{13}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 13}{5\times 10}$$

Do the multiplications in the fraction \frac{14\times 13}{5\times 10}.

$$\frac{182}{50}$$

Reduce the fraction \frac{182}{50} to lowest terms by extracting and canceling out 2.

$$\frac{91}{25}$$

Factor

$$\frac{7 \cdot 13}{5 ^ {2}} = 3\frac{16}{25} = 3.64$$