Solve {[24:3+(43-32:8+11):5]*5}+(33-54:9+9):12-8*9

$$\{ [ 24 : 3 + ( 43 - 32 : 8 + 11 ) : 5 ] \times 5 \} + ( 33 - 54 : 9 + 9 ) : 12 - 8 \times 9$$

Evaluate

$$21$$

Solution Steps

Divide 24 by 3 to get 8.

$$\left(8+\frac{43-\frac{32}{8}+11}{5}\right)\times 5+\frac{33-\frac{54}{9}+9}{12}-8\times 9$$

Divide 32 by 8 to get 4.

$$\left(8+\frac{43-4+11}{5}\right)\times 5+\frac{33-\frac{54}{9}+9}{12}-8\times 9$$

Subtract 4 from 43 to get 39.

$$\left(8+\frac{39+11}{5}\right)\times 5+\frac{33-\frac{54}{9}+9}{12}-8\times 9$$

Add 39 and 11 to get 50.

$$\left(8+\frac{50}{5}\right)\times 5+\frac{33-\frac{54}{9}+9}{12}-8\times 9$$

Divide 50 by 5 to get 10.

$$\left(8+10\right)\times 5+\frac{33-\frac{54}{9}+9}{12}-8\times 9$$

Add 8 and 10 to get 18.

$$18\times 5+\frac{33-\frac{54}{9}+9}{12}-8\times 9$$

Multiply 18 and 5 to get 90.

$$90+\frac{33-\frac{54}{9}+9}{12}-8\times 9$$

Divide 54 by 9 to get 6.

$$90+\frac{33-6+9}{12}-8\times 9$$

Subtract 6 from 33 to get 27.

$$90+\frac{27+9}{12}-8\times 9$$

Add 27 and 9 to get 36.

$$90+\frac{36}{12}-8\times 9$$

Divide 36 by 12 to get 3.

$$90+3-8\times 9$$

Add 90 and 3 to get 93.

$$93-8\times 9$$

Multiply 8 and 9 to get 72.

$$93-72$$

Subtract 72 from 93 to get 21.

$$21$$

Factor

$$3\times 7$$