Solve 4.82-5.2div0.8*0.6

$$4.82 - 5.2 \div 0.8 \times 0.6$$

Evaluate

$$0.92$$

Solution Steps

Expand \frac{5.2}{0.8} by multiplying both numerator and the denominator by 10.

$$4.82-\frac{52}{8}\times 0.6$$

Reduce the fraction \frac{52}{8} to lowest terms by extracting and canceling out 4.

$$4.82-\frac{13}{2}\times 0.6$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$4.82-\frac{13}{2}\times \frac{3}{5}$$

Multiply \frac{13}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$4.82-\frac{13\times 3}{2\times 5}$$

Do the multiplications in the fraction \frac{13\times 3}{2\times 5}.

$$4.82-\frac{39}{10}$$

Convert decimal number 4.82 to fraction \frac{482}{100}. Reduce the fraction \frac{482}{100} to lowest terms by extracting and canceling out 2.

$$\frac{241}{50}-\frac{39}{10}$$

Least common multiple of 50 and 10 is 50. Convert \frac{241}{50} and \frac{39}{10} to fractions with denominator 50.

$$\frac{241}{50}-\frac{195}{50}$$

Since \frac{241}{50} and \frac{195}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{241-195}{50}$$

Subtract 195 from 241 to get 46.

$$\frac{46}{50}$$

Reduce the fraction \frac{46}{50} to lowest terms by extracting and canceling out 2.

$$\frac{23}{25}$$

Factor

$$\frac{23}{5 ^ {2}} = 0.92$$