Solve 11.2*4.5-62.4div9.6

$$11.2 \times 4.5 - 62.4 \div 9.6$$

Evaluate

$$43.9$$

Solution Steps

Multiply 11.2 and 4.5 to get 50.4.

$$50.4-\frac{62.4}{9.6}$$

Expand \frac{62.4}{9.6} by multiplying both numerator and the denominator by 10.

$$50.4-\frac{624}{96}$$

Reduce the fraction \frac{624}{96} to lowest terms by extracting and canceling out 48.

$$50.4-\frac{13}{2}$$

Convert decimal number 50.4 to fraction \frac{504}{10}. Reduce the fraction \frac{504}{10} to lowest terms by extracting and canceling out 2.

$$\frac{252}{5}-\frac{13}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{252}{5} and \frac{13}{2} to fractions with denominator 10.

$$\frac{504}{10}-\frac{65}{10}$$

Since \frac{504}{10} and \frac{65}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{504-65}{10}$$

Subtract 65 from 504 to get 439.

$$\frac{439}{10}$$

Factor

$$\frac{439}{2 \cdot 5} = 43\frac{9}{10} = 43.9$$