Solve 3/4*9+1/2/9+1

$$\frac { \frac { 3 } { 4 } \times 9 + \frac { 1 } { 2 } } { 9 + 1 }$$

Evaluate

$$\frac{29}{40}=0.725$$

Solution Steps

Express \frac{3}{4}\times 9 as a single fraction.

$$\frac{\frac{3\times 9}{4}+\frac{1}{2}}{9+1}$$

Multiply 3 and 9 to get 27.

$$\frac{\frac{27}{4}+\frac{1}{2}}{9+1}$$

Least common multiple of 4 and 2 is 4. Convert \frac{27}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{\frac{27}{4}+\frac{2}{4}}{9+1}$$

Since \frac{27}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{27+2}{4}}{9+1}$$

Add 27 and 2 to get 29.

$$\frac{\frac{29}{4}}{9+1}$$

Add 9 and 1 to get 10.

$$\frac{\frac{29}{4}}{10}$$

Express \frac{\frac{29}{4}}{10} as a single fraction.

$$\frac{29}{4\times 10}$$

Multiply 4 and 10 to get 40.

$$\frac{29}{40}$$

Factor

$$\frac{29}{2 ^ {3} \cdot 5} = 0.725$$