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

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