Solve (4.8+2.4div(20div0.5-18.9+2.9)-2.2)+(60div10-1.8+5)

$$(4.8+2.4 \div (20 \div 0.5-18.9+2.9)-2.2)+(60 \div 10-1.8+5)$$

Evaluate

$$11.9$$

Solution Steps

Expand \frac{20}{0.5} by multiplying both numerator and the denominator by 10.

$$4.8+\frac{2.4}{\frac{200}{5}-18.9+2.9}-2.2+\frac{60}{10}-1.8+5$$

Divide 200 by 5 to get 40.

$$4.8+\frac{2.4}{40-18.9+2.9}-2.2+\frac{60}{10}-1.8+5$$

Subtract 18.9 from 40 to get 21.1.

$$4.8+\frac{2.4}{21.1+2.9}-2.2+\frac{60}{10}-1.8+5$$

Add 21.1 and 2.9 to get 24.

$$4.8+\frac{2.4}{24}-2.2+\frac{60}{10}-1.8+5$$

Expand \frac{2.4}{24} by multiplying both numerator and the denominator by 10.

$$4.8+\frac{24}{240}-2.2+\frac{60}{10}-1.8+5$$

Reduce the fraction \frac{24}{240} to lowest terms by extracting and canceling out 24.

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

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.

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

Least common multiple of 5 and 10 is 10. Convert \frac{24}{5} and \frac{1}{10} to fractions with denominator 10.

$$\frac{48}{10}+\frac{1}{10}-2.2+\frac{60}{10}-1.8+5$$

Since \frac{48}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{48+1}{10}-2.2+\frac{60}{10}-1.8+5$$

Add 48 and 1 to get 49.

$$\frac{49}{10}-2.2+\frac{60}{10}-1.8+5$$

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.

$$\frac{49}{10}-\frac{11}{5}+\frac{60}{10}-1.8+5$$

Least common multiple of 10 and 5 is 10. Convert \frac{49}{10} and \frac{11}{5} to fractions with denominator 10.

$$\frac{49}{10}-\frac{22}{10}+\frac{60}{10}-1.8+5$$

Since \frac{49}{10} and \frac{22}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-22}{10}+\frac{60}{10}-1.8+5$$

Subtract 22 from 49 to get 27.

$$\frac{27}{10}+\frac{60}{10}-1.8+5$$

Since \frac{27}{10} and \frac{60}{10} have the same denominator, add them by adding their numerators.

$$\frac{27+60}{10}-1.8+5$$

Add 27 and 60 to get 87.

$$\frac{87}{10}-1.8+5$$

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.

$$\frac{87}{10}-\frac{9}{5}+5$$

Least common multiple of 10 and 5 is 10. Convert \frac{87}{10} and \frac{9}{5} to fractions with denominator 10.

$$\frac{87}{10}-\frac{18}{10}+5$$

Since \frac{87}{10} and \frac{18}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{87-18}{10}+5$$

Subtract 18 from 87 to get 69.

$$\frac{69}{10}+5$$

Convert 5 to fraction \frac{50}{10}.

$$\frac{69}{10}+\frac{50}{10}$$

Since \frac{69}{10} and \frac{50}{10} have the same denominator, add them by adding their numerators.

$$\frac{69+50}{10}$$

Add 69 and 50 to get 119.

$$\frac{119}{10}$$

Factor

$$\frac{7 \cdot 17}{2 \cdot 5} = 11\frac{9}{10} = 11.9$$