Solve 5.6-(1.6+1.6div4)]div0.12

$$5.6 - ( 1.6 + 1.6 \div 4 ) ] \div 0.12$$

Evaluate

$$3.6$$

Solution Steps

Expand \frac{1.6}{4} by multiplying both numerator and the denominator by 10.

$$5.6-\left(1.6+\frac{16}{40}\right)$$

Reduce the fraction \frac{16}{40} to lowest terms by extracting and canceling out 8.

$$5.6-\left(1.6+\frac{2}{5}\right)$$

Convert decimal number 1.6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$5.6-\left(\frac{8}{5}+\frac{2}{5}\right)$$

Since \frac{8}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$5.6-\frac{8+2}{5}$$

Add 8 and 2 to get 10.

$$5.6-\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$5.6-2$$

Subtract 2 from 5.6 to get 3.6.

$$3.6$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5} = 3\frac{3}{5} = 3.6$$