Solve -1/3*27+13/12*9-30*9

$$- \frac { 1 } { 3 } \times 27 + \frac { 13 } { 12 } \times 9 - 30 \times 9$$

Evaluate

$$-\frac{1077}{4}=-269.25$$

Solution Steps

Express -\frac{1}{3}\times 27 as a single fraction.

$$\frac{-27}{3}+\frac{13}{12}\times 9-30\times 9$$

Divide -27 by 3 to get -9.

$$-9+\frac{13}{12}\times 9-30\times 9$$

Express \frac{13}{12}\times 9 as a single fraction.

$$-9+\frac{13\times 9}{12}-30\times 9$$

Multiply 13 and 9 to get 117.

$$-9+\frac{117}{12}-30\times 9$$

Reduce the fraction \frac{117}{12} to lowest terms by extracting and canceling out 3.

$$-9+\frac{39}{4}-30\times 9$$

Convert -9 to fraction -\frac{36}{4}.

$$-\frac{36}{4}+\frac{39}{4}-30\times 9$$

Since -\frac{36}{4} and \frac{39}{4} have the same denominator, add them by adding their numerators.

$$\frac{-36+39}{4}-30\times 9$$

Add -36 and 39 to get 3.

$$\frac{3}{4}-30\times 9$$

Multiply 30 and 9 to get 270.

$$\frac{3}{4}-270$$

Convert 270 to fraction \frac{1080}{4}.

$$\frac{3}{4}-\frac{1080}{4}$$

Since \frac{3}{4} and \frac{1080}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-1080}{4}$$

Subtract 1080 from 3 to get -1077.

$$-\frac{1077}{4}$$

Factor

$$-\frac{1077}{4} = -269\frac{1}{4} = -269.25$$