Solve (3*5+2+1*(17div2))+(7*(3*10div(5*2+4)-3)-1)*2

$$(3 \times 5+2+1 \times (17 \div 2))+(7 \times (3 \times 10 \div (5 \times 2+4)-3)-1) \times 2$$

Evaluate

$$\frac{23}{2}=11.5$$

Solution Steps

Multiply 3 and 5 to get 15.

$$15+2+1\times \frac{17}{2}+\left(7\left(\frac{3\times 10}{5\times 2+4}-3\right)-1\right)\times 2$$

Add 15 and 2 to get 17.

$$17+1\times \frac{17}{2}+\left(7\left(\frac{3\times 10}{5\times 2+4}-3\right)-1\right)\times 2$$

Multiply 1 and \frac{17}{2} to get \frac{17}{2}.

$$17+\frac{17}{2}+\left(7\left(\frac{3\times 10}{5\times 2+4}-3\right)-1\right)\times 2$$

Convert 17 to fraction \frac{34}{2}.

$$\frac{34}{2}+\frac{17}{2}+\left(7\left(\frac{3\times 10}{5\times 2+4}-3\right)-1\right)\times 2$$

Since \frac{34}{2} and \frac{17}{2} have the same denominator, add them by adding their numerators.

$$\frac{34+17}{2}+\left(7\left(\frac{3\times 10}{5\times 2+4}-3\right)-1\right)\times 2$$

Add 34 and 17 to get 51.

$$\frac{51}{2}+\left(7\left(\frac{3\times 10}{5\times 2+4}-3\right)-1\right)\times 2$$

Multiply 3 and 10 to get 30.

$$\frac{51}{2}+\left(7\left(\frac{30}{5\times 2+4}-3\right)-1\right)\times 2$$

Multiply 5 and 2 to get 10.

$$\frac{51}{2}+\left(7\left(\frac{30}{10+4}-3\right)-1\right)\times 2$$

Add 10 and 4 to get 14.

$$\frac{51}{2}+\left(7\left(\frac{30}{14}-3\right)-1\right)\times 2$$

Reduce the fraction \frac{30}{14} to lowest terms by extracting and canceling out 2.

$$\frac{51}{2}+\left(7\left(\frac{15}{7}-3\right)-1\right)\times 2$$

Convert 3 to fraction \frac{21}{7}.

$$\frac{51}{2}+\left(7\left(\frac{15}{7}-\frac{21}{7}\right)-1\right)\times 2$$

Since \frac{15}{7} and \frac{21}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51}{2}+\left(7\times \frac{15-21}{7}-1\right)\times 2$$

Subtract 21 from 15 to get -6.

$$\frac{51}{2}+\left(7\left(-\frac{6}{7}\right)-1\right)\times 2$$

Cancel out 7 and 7.

$$\frac{51}{2}+\left(-6-1\right)\times 2$$

Subtract 1 from -6 to get -7.

$$\frac{51}{2}-7\times 2$$

Multiply -7 and 2 to get -14.

$$\frac{51}{2}-14$$

Convert 14 to fraction \frac{28}{2}.

$$\frac{51}{2}-\frac{28}{2}$$

Since \frac{51}{2} and \frac{28}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-28}{2}$$

Subtract 28 from 51 to get 23.

$$\frac{23}{2}$$

Factor

$$\frac{23}{2} = 11\frac{1}{2} = 11.5$$