Solve 26.4*3.14div8*6

$$26.4 \times 3.14 \div 8 \times 6$$

Evaluate

$$62.172$$

Solution Steps

Multiply 26.4 and 3.14 to get 82.896.

$$\frac{82.896}{8}\times 6$$

Expand \frac{82.896}{8} by multiplying both numerator and the denominator by 1000.

$$\frac{82896}{8000}\times 6$$

Reduce the fraction \frac{82896}{8000} to lowest terms by extracting and canceling out 16.

$$\frac{5181}{500}\times 6$$

Express \frac{5181}{500}\times 6 as a single fraction.

$$\frac{5181\times 6}{500}$$

Multiply 5181 and 6 to get 31086.

$$\frac{31086}{500}$$

Reduce the fraction \frac{31086}{500} to lowest terms by extracting and canceling out 2.

$$\frac{15543}{250}$$

Factor

$$\frac{11 \cdot 157 \cdot 3 ^ {2}}{2 \cdot 5 ^ {3}} = 62\frac{43}{250} = 62.172$$