Solve (0.56div22.4+3div40)*56

$$(0.56 \div 22.4+3 \div 40) \times 56$$

Evaluate

$$5.6$$

Solution Steps

Expand \frac{0.56}{22.4} by multiplying both numerator and the denominator by 100.

$$\left(\frac{56}{2240}+\frac{3}{40}\right)\times 56$$

Reduce the fraction \frac{56}{2240} to lowest terms by extracting and canceling out 56.

$$\left(\frac{1}{40}+\frac{3}{40}\right)\times 56$$

Since \frac{1}{40} and \frac{3}{40} have the same denominator, add them by adding their numerators.

$$\frac{1+3}{40}\times 56$$

Add 1 and 3 to get 4.

$$\frac{4}{40}\times 56$$

Reduce the fraction \frac{4}{40} to lowest terms by extracting and canceling out 4.

$$\frac{1}{10}\times 56$$

Multiply \frac{1}{10} and 56 to get \frac{56}{10}.

$$\frac{56}{10}$$

Reduce the fraction \frac{56}{10} to lowest terms by extracting and canceling out 2.

$$\frac{28}{5}$$

Factor

$$\frac{7 \cdot 2 ^ {2}}{5} = 5\frac{3}{5} = 5.6$$