Solve -3/4*9+3/2*9+6

$$- \frac { 3 } { 4 } \times 9 + \frac { 3 } { 2 } \times 9 + 6$$

Evaluate

$$\frac{51}{4}=12.75$$

Solution Steps

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

$$\frac{-3\times 9}{4}+\frac{3}{2}\times 9+6$$

Multiply -3 and 9 to get -27.

$$\frac{-27}{4}+\frac{3}{2}\times 9+6$$

Fraction \frac{-27}{4} can be rewritten as -\frac{27}{4} by extracting the negative sign.

$$-\frac{27}{4}+\frac{3}{2}\times 9+6$$

Express \frac{3}{2}\times 9 as a single fraction.

$$-\frac{27}{4}+\frac{3\times 9}{2}+6$$

Multiply 3 and 9 to get 27.

$$-\frac{27}{4}+\frac{27}{2}+6$$

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

$$-\frac{27}{4}+\frac{54}{4}+6$$

Since -\frac{27}{4} and \frac{54}{4} have the same denominator, add them by adding their numerators.

$$\frac{-27+54}{4}+6$$

Add -27 and 54 to get 27.

$$\frac{27}{4}+6$$

Convert 6 to fraction \frac{24}{4}.

$$\frac{27}{4}+\frac{24}{4}$$

Since \frac{27}{4} and \frac{24}{4} have the same denominator, add them by adding their numerators.

$$\frac{27+24}{4}$$

Add 27 and 24 to get 51.

$$\frac{51}{4}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {2}} = 12\frac{3}{4} = 12.75$$