Solve (4.8*75%+6.4)*0.25

$$(4.8 \times 75 \% +6.4) \times 0.25$$

Evaluate

$$2.5$$

Solution Steps

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\left(4.8\times \frac{3}{4}+6.4\right)\times 0.25$$

Convert decimal number 4.8 to fraction \frac{48}{10}. Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.

$$\left(\frac{24}{5}\times \frac{3}{4}+6.4\right)\times 0.25$$

Multiply \frac{24}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{24\times 3}{5\times 4}+6.4\right)\times 0.25$$

Do the multiplications in the fraction \frac{24\times 3}{5\times 4}.

$$\left(\frac{72}{20}+6.4\right)\times 0.25$$

Reduce the fraction \frac{72}{20} to lowest terms by extracting and canceling out 4.

$$\left(\frac{18}{5}+6.4\right)\times 0.25$$

Convert decimal number 6.4 to fraction \frac{64}{10}. Reduce the fraction \frac{64}{10} to lowest terms by extracting and canceling out 2.

$$\left(\frac{18}{5}+\frac{32}{5}\right)\times 0.25$$

Since \frac{18}{5} and \frac{32}{5} have the same denominator, add them by adding their numerators.

$$\frac{18+32}{5}\times 0.25$$

Add 18 and 32 to get 50.

$$\frac{50}{5}\times 0.25$$

Divide 50 by 5 to get 10.

$$10\times 0.25$$

Multiply 10 and 0.25 to get 2.5.

$$2.5$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$