Solve {[(8*4+3)div7+(3+15div5)*3]*2^5+(19-15)div6}*2+12

$$\{ [ ( 8 \cdot 4 + 3 ) \div 7 + ( 3 + 15 \div 5 ) \cdot 3 ] \cdot 2 ^ { 5 } + ( 19 - 15 ) \div 6 \} \cdot 2 + 12$$

Evaluate

$$\frac{4456}{3}\approx 1485.333333333$$

Solution Steps

Multiply 8 and 4 to get 32.

$$\left(\left(\frac{32+3}{7}+\left(3+\frac{15}{5}\right)\times 3\right)\times 2^{5}+\frac{19-15}{6}\right)\times 2+12$$

Add 32 and 3 to get 35.

$$\left(\left(\frac{35}{7}+\left(3+\frac{15}{5}\right)\times 3\right)\times 2^{5}+\frac{19-15}{6}\right)\times 2+12$$

Divide 35 by 7 to get 5.

$$\left(\left(5+\left(3+\frac{15}{5}\right)\times 3\right)\times 2^{5}+\frac{19-15}{6}\right)\times 2+12$$

Divide 15 by 5 to get 3.

$$\left(\left(5+\left(3+3\right)\times 3\right)\times 2^{5}+\frac{19-15}{6}\right)\times 2+12$$

Add 3 and 3 to get 6.

$$\left(\left(5+6\times 3\right)\times 2^{5}+\frac{19-15}{6}\right)\times 2+12$$

Multiply 6 and 3 to get 18.

$$\left(\left(5+18\right)\times 2^{5}+\frac{19-15}{6}\right)\times 2+12$$

Add 5 and 18 to get 23.

$$\left(23\times 2^{5}+\frac{19-15}{6}\right)\times 2+12$$

Calculate 2 to the power of 5 and get 32.

$$\left(23\times 32+\frac{19-15}{6}\right)\times 2+12$$

Multiply 23 and 32 to get 736.

$$\left(736+\frac{19-15}{6}\right)\times 2+12$$

Subtract 15 from 19 to get 4.

$$\left(736+\frac{4}{6}\right)\times 2+12$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\left(736+\frac{2}{3}\right)\times 2+12$$

Convert 736 to fraction \frac{2208}{3}.

$$\left(\frac{2208}{3}+\frac{2}{3}\right)\times 2+12$$

Since \frac{2208}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{2208+2}{3}\times 2+12$$

Add 2208 and 2 to get 2210.

$$\frac{2210}{3}\times 2+12$$

Express \frac{2210}{3}\times 2 as a single fraction.

$$\frac{2210\times 2}{3}+12$$

Multiply 2210 and 2 to get 4420.

$$\frac{4420}{3}+12$$

Convert 12 to fraction \frac{36}{3}.

$$\frac{4420}{3}+\frac{36}{3}$$

Since \frac{4420}{3} and \frac{36}{3} have the same denominator, add them by adding their numerators.

$$\frac{4420+36}{3}$$

Add 4420 and 36 to get 4456.

$$\frac{4456}{3}$$

Factor

$$\frac{2 ^ {3} \cdot 557}{3} = 1485\frac{1}{3} = 1485.3333333333333$$