Solve {[(5*4+3)div3+(3+150div5)*3]*2-(89-7)div6}*2+18

$$\{ [ ( 5 \cdot 4 + 3 ) \div 3 + ( 3 + 150 \div 5 ) \cdot 3 ] \cdot 2 - ( 89 - 7 ) \div 6 \} \cdot 2 + 18$$

Evaluate

$$\frac{1252}{3}\approx 417.333333333$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\left(\left(\frac{20+3}{3}+\left(3+\frac{150}{5}\right)\times 3\right)\times 2-\frac{89-7}{6}\right)\times 2+18$$

Add 20 and 3 to get 23.

$$\left(\left(\frac{23}{3}+\left(3+\frac{150}{5}\right)\times 3\right)\times 2-\frac{89-7}{6}\right)\times 2+18$$

Divide 150 by 5 to get 30.

$$\left(\left(\frac{23}{3}+\left(3+30\right)\times 3\right)\times 2-\frac{89-7}{6}\right)\times 2+18$$

Add 3 and 30 to get 33.

$$\left(\left(\frac{23}{3}+33\times 3\right)\times 2-\frac{89-7}{6}\right)\times 2+18$$

Multiply 33 and 3 to get 99.

$$\left(\left(\frac{23}{3}+99\right)\times 2-\frac{89-7}{6}\right)\times 2+18$$

Convert 99 to fraction \frac{297}{3}.

$$\left(\left(\frac{23}{3}+\frac{297}{3}\right)\times 2-\frac{89-7}{6}\right)\times 2+18$$

Since \frac{23}{3} and \frac{297}{3} have the same denominator, add them by adding their numerators.

$$\left(\frac{23+297}{3}\times 2-\frac{89-7}{6}\right)\times 2+18$$

Add 23 and 297 to get 320.

$$\left(\frac{320}{3}\times 2-\frac{89-7}{6}\right)\times 2+18$$

Express \frac{320}{3}\times 2 as a single fraction.

$$\left(\frac{320\times 2}{3}-\frac{89-7}{6}\right)\times 2+18$$

Multiply 320 and 2 to get 640.

$$\left(\frac{640}{3}-\frac{89-7}{6}\right)\times 2+18$$

Subtract 7 from 89 to get 82.

$$\left(\frac{640}{3}-\frac{82}{6}\right)\times 2+18$$

Reduce the fraction \frac{82}{6} to lowest terms by extracting and canceling out 2.

$$\left(\frac{640}{3}-\frac{41}{3}\right)\times 2+18$$

Since \frac{640}{3} and \frac{41}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{640-41}{3}\times 2+18$$

Subtract 41 from 640 to get 599.

$$\frac{599}{3}\times 2+18$$

Express \frac{599}{3}\times 2 as a single fraction.

$$\frac{599\times 2}{3}+18$$

Multiply 599 and 2 to get 1198.

$$\frac{1198}{3}+18$$

Convert 18 to fraction \frac{54}{3}.

$$\frac{1198}{3}+\frac{54}{3}$$

Since \frac{1198}{3} and \frac{54}{3} have the same denominator, add them by adding their numerators.

$$\frac{1198+54}{3}$$

Add 1198 and 54 to get 1252.

$$\frac{1252}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 313}{3} = 417\frac{1}{3} = 417.3333333333333$$