Solve 52.8div[18.2-(4.24div0.8-0.3)]

$$52.8 \div [ 18.2 - ( 4.24 \div 0.8 - 0.3 ) ]$$

Evaluate

$$4$$

Solution Steps

Expand \frac{4.24}{0.8} by multiplying both numerator and the denominator by 100.

$$\frac{52.8}{18.2-\left(\frac{424}{80}-0.3\right)}$$

Reduce the fraction \frac{424}{80} to lowest terms by extracting and canceling out 8.

$$\frac{52.8}{18.2-\left(\frac{53}{10}-0.3\right)}$$

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$\frac{52.8}{18.2-\left(\frac{53}{10}-\frac{3}{10}\right)}$$

Since \frac{53}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52.8}{18.2-\frac{53-3}{10}}$$

Subtract 3 from 53 to get 50.

$$\frac{52.8}{18.2-\frac{50}{10}}$$

Divide 50 by 10 to get 5.

$$\frac{52.8}{18.2-5}$$

Subtract 5 from 18.2 to get 13.2.

$$\frac{52.8}{13.2}$$

Expand \frac{52.8}{13.2} by multiplying both numerator and the denominator by 10.

$$\frac{528}{132}$$

Divide 528 by 132 to get 4.

$$4$$

Factor

$$2^{2}$$