Solve 654*18+234div84*52-4

$$654 \times 18 + 234 \div 84 \times 52 - 4$$

Evaluate

$$\frac{83390}{7}\approx 11912.857142857$$

Solution Steps

Multiply 654 and 18 to get 11772.

$$11772+\frac{234}{84}\times 52-4$$

Reduce the fraction \frac{234}{84} to lowest terms by extracting and canceling out 6.

$$11772+\frac{39}{14}\times 52-4$$

Express \frac{39}{14}\times 52 as a single fraction.

$$11772+\frac{39\times 52}{14}-4$$

Multiply 39 and 52 to get 2028.

$$11772+\frac{2028}{14}-4$$

Reduce the fraction \frac{2028}{14} to lowest terms by extracting and canceling out 2.

$$11772+\frac{1014}{7}-4$$

Convert 11772 to fraction \frac{82404}{7}.

$$\frac{82404}{7}+\frac{1014}{7}-4$$

Since \frac{82404}{7} and \frac{1014}{7} have the same denominator, add them by adding their numerators.

$$\frac{82404+1014}{7}-4$$

Add 82404 and 1014 to get 83418.

$$\frac{83418}{7}-4$$

Convert 4 to fraction \frac{28}{7}.

$$\frac{83418}{7}-\frac{28}{7}$$

Since \frac{83418}{7} and \frac{28}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{83418-28}{7}$$

Subtract 28 from 83418 to get 83390.

$$\frac{83390}{7}$$

Factor

$$\frac{2 \cdot 5 \cdot 31 \cdot 269}{7} = 11912\frac{6}{7} = 11912.857142857143$$