Solve (4.8+2.4div(20div5-18.9+2.9)-2.2)+(60div10-1.8+5)

$$(4.8+2.4 \div (20 \div 5-18.9+2.9)-2.2)+(60 \div 10-1.8+5)$$

Evaluate

$$11.6$$

Solution Steps

Divide 20 by 5 to get 4.

$$4.8+\frac{2.4}{4-18.9+2.9}-2.2+\frac{60}{10}-1.8+5$$

Subtract 18.9 from 4 to get -14.9.

$$4.8+\frac{2.4}{-14.9+2.9}-2.2+\frac{60}{10}-1.8+5$$

Add -14.9 and 2.9 to get -12.

$$4.8+\frac{2.4}{-12}-2.2+\frac{60}{10}-1.8+5$$

Expand \frac{2.4}{-12} by multiplying both numerator and the denominator by 10.

$$4.8+\frac{24}{-120}-2.2+\frac{60}{10}-1.8+5$$

Reduce the fraction \frac{24}{-120} to lowest terms by extracting and canceling out 24.

$$4.8-\frac{1}{5}-2.2+\frac{60}{10}-1.8+5$$

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.

$$\frac{24}{5}-\frac{1}{5}-2.2+\frac{60}{10}-1.8+5$$

Since \frac{24}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-1}{5}-2.2+\frac{60}{10}-1.8+5$$

Subtract 1 from 24 to get 23.

$$\frac{23}{5}-2.2+\frac{60}{10}-1.8+5$$

Convert decimal number 2.2 to fraction \frac{22}{10}. Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$\frac{23}{5}-\frac{11}{5}+\frac{60}{10}-1.8+5$$

Since \frac{23}{5} and \frac{11}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-11}{5}+\frac{60}{10}-1.8+5$$

Subtract 11 from 23 to get 12.

$$\frac{12}{5}+\frac{60}{10}-1.8+5$$

Divide 60 by 10 to get 6.

$$\frac{12}{5}+6-1.8+5$$

Convert 6 to fraction \frac{30}{5}.

$$\frac{12}{5}+\frac{30}{5}-1.8+5$$

Since \frac{12}{5} and \frac{30}{5} have the same denominator, add them by adding their numerators.

$$\frac{12+30}{5}-1.8+5$$

Add 12 and 30 to get 42.

$$\frac{42}{5}-1.8+5$$

Convert decimal number 1.8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{42}{5}-\frac{9}{5}+5$$

Since \frac{42}{5} and \frac{9}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42-9}{5}+5$$

Subtract 9 from 42 to get 33.

$$\frac{33}{5}+5$$

Convert 5 to fraction \frac{25}{5}.

$$\frac{33}{5}+\frac{25}{5}$$

Since \frac{33}{5} and \frac{25}{5} have the same denominator, add them by adding their numerators.

$$\frac{33+25}{5}$$

Add 33 and 25 to get 58.

$$\frac{58}{5}$$

Factor

$$\frac{2 \cdot 29}{5} = 11\frac{3}{5} = 11.6$$