Solve (2-11/10):4+9

$$( 2 - 1 \frac { 1 } { 10 } ) : 4 + 9$$

Evaluate

$$\frac{369}{40}=9.225$$

Solution Steps

Multiply 1 and 10 to get 10.

$$\frac{2-\frac{10+1}{10}}{4}+9$$

Add 10 and 1 to get 11.

$$\frac{2-\frac{11}{10}}{4}+9$$

Convert 2 to fraction \frac{20}{10}.

$$\frac{\frac{20}{10}-\frac{11}{10}}{4}+9$$

Since \frac{20}{10} and \frac{11}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{20-11}{10}}{4}+9$$

Subtract 11 from 20 to get 9.

$$\frac{\frac{9}{10}}{4}+9$$

Express \frac{\frac{9}{10}}{4} as a single fraction.

$$\frac{9}{10\times 4}+9$$

Multiply 10 and 4 to get 40.

$$\frac{9}{40}+9$$

Convert 9 to fraction \frac{360}{40}.

$$\frac{9}{40}+\frac{360}{40}$$

Since \frac{9}{40} and \frac{360}{40} have the same denominator, add them by adding their numerators.

$$\frac{9+360}{40}$$

Add 9 and 360 to get 369.

$$\frac{369}{40}$$

Factor

$$\frac{3 ^ {2} \cdot 41}{2 ^ {3} \cdot 5} = 9\frac{9}{40} = 9.225$$