Solve 11/4*9+3/4*9

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

Evaluate

$$18$$

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

$$\frac{5}{4}\times 9+\frac{3}{4}\times 9$$

Express \frac{5}{4}\times 9 as a single fraction.

$$\frac{5\times 9}{4}+\frac{3}{4}\times 9$$

Multiply 5 and 9 to get 45.

$$\frac{45}{4}+\frac{3}{4}\times 9$$

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

$$\frac{45}{4}+\frac{3\times 9}{4}$$

Multiply 3 and 9 to get 27.

$$\frac{45}{4}+\frac{27}{4}$$

Since \frac{45}{4} and \frac{27}{4} have the same denominator, add them by adding their numerators.

$$\frac{45+27}{4}$$

Add 45 and 27 to get 72.

$$\frac{72}{4}$$

Divide 72 by 4 to get 18.

$$18$$

Factor

$$2\times 3^{2}$$