Solve (8,006+0,452+0,15)div0,1/(2,33-0,33+8)

$$\frac { ( 8,006 + 0,452 + 0,15 ) \div 0,1 } { ( 2,33 - 0,33 + 8 ) }$$

Evaluate

$$8,608$$

Solution Steps

Add 8,006 and 0,452 to get 8,458.

$$\frac{\frac{8,458+0,15}{0,1}}{2,33-0,33+8}$$

Add 8,458 and 0,15 to get 8,608.

$$\frac{\frac{8,608}{0,1}}{2,33-0,33+8}$$

Expand \frac{8,608}{0,1} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{8608}{100}}{2,33-0,33+8}$$

Reduce the fraction \frac{8608}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{2152}{25}}{2,33-0,33+8}$$

Subtract 0,33 from 2,33 to get 2.

$$\frac{\frac{2152}{25}}{2+8}$$

Add 2 and 8 to get 10.

$$\frac{\frac{2152}{25}}{10}$$

Express \frac{\frac{2152}{25}}{10} as a single fraction.

$$\frac{2152}{25\times 10}$$

Multiply 25 and 10 to get 250.

$$\frac{2152}{250}$$

Reduce the fraction \frac{2152}{250} to lowest terms by extracting and canceling out 2.

$$\frac{1076}{125}$$

Factor

$$\frac{269 \cdot 2 ^ {2}}{5 ^ {3}} = 8\frac{76}{125} = 8.608$$