Solve 29+33-78*49+277div9*3+5*6

$$29 + 33 - 78 \times 49 + 277 \div 9 \times 3 + 5 \times 6$$

Evaluate

$$-\frac{10913}{3}\approx -3637.666666667$$

Solution Steps

Add 29 and 33 to get 62.

$$62-78\times 49+\frac{277}{9}\times 3+5\times 6$$

Multiply 78 and 49 to get 3822.

$$62-3822+\frac{277}{9}\times 3+5\times 6$$

Subtract 3822 from 62 to get -3760.

$$-3760+\frac{277}{9}\times 3+5\times 6$$

Express \frac{277}{9}\times 3 as a single fraction.

$$-3760+\frac{277\times 3}{9}+5\times 6$$

Multiply 277 and 3 to get 831.

$$-3760+\frac{831}{9}+5\times 6$$

Reduce the fraction \frac{831}{9} to lowest terms by extracting and canceling out 3.

$$-3760+\frac{277}{3}+5\times 6$$

Convert -3760 to fraction -\frac{11280}{3}.

$$-\frac{11280}{3}+\frac{277}{3}+5\times 6$$

Since -\frac{11280}{3} and \frac{277}{3} have the same denominator, add them by adding their numerators.

$$\frac{-11280+277}{3}+5\times 6$$

Add -11280 and 277 to get -11003.

$$-\frac{11003}{3}+5\times 6$$

Multiply 5 and 6 to get 30.

$$-\frac{11003}{3}+30$$

Convert 30 to fraction \frac{90}{3}.

$$-\frac{11003}{3}+\frac{90}{3}$$

Since -\frac{11003}{3} and \frac{90}{3} have the same denominator, add them by adding their numerators.

$$\frac{-11003+90}{3}$$

Add -11003 and 90 to get -10913.

$$-\frac{10913}{3}$$

Factor

$$-\frac{10913}{3} = -3637\frac{2}{3} = -3637.6666666666665$$