Solve 8.63*60div280*7div3

$$8.63 \times 60 \div 280 \times 7 \div 3$$

Evaluate

$$4.315$$

Solution Steps

Multiply 8.63 and 60 to get 517.8.

$$\frac{\frac{517.8}{280}\times 7}{3}$$

Expand \frac{517.8}{280} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{5178}{2800}\times 7}{3}$$

Reduce the fraction \frac{5178}{2800} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2589}{1400}\times 7}{3}$$

Express \frac{2589}{1400}\times 7 as a single fraction.

$$\frac{\frac{2589\times 7}{1400}}{3}$$

Multiply 2589 and 7 to get 18123.

$$\frac{\frac{18123}{1400}}{3}$$

Reduce the fraction \frac{18123}{1400} to lowest terms by extracting and canceling out 7.

$$\frac{\frac{2589}{200}}{3}$$

Express \frac{\frac{2589}{200}}{3} as a single fraction.

$$\frac{2589}{200\times 3}$$

Multiply 200 and 3 to get 600.

$$\frac{2589}{600}$$

Reduce the fraction \frac{2589}{600} to lowest terms by extracting and canceling out 3.

$$\frac{863}{200}$$

Factor

$$\frac{863}{2 ^ {3} \cdot 5 ^ {2}} = 4\frac{63}{200} = 4.315$$