Solve (((((3+5)-7)+2/5)-(3*-4))+((2div7/3)*3))=

$$(((((3+5)-7)+ \frac{ 2 }{ 5 } )-(3 \times -4))+((2 \div \frac{ 7 }{ 3 } ) \times 3))=$$

Evaluate

$$\frac{559}{35}\approx 15.971428571$$

Solution Steps

Add 3 and 5 to get 8.

$$8-7+\frac{2}{5}-3\left(-4\right)+\frac{2}{\frac{7}{3}}\times 3$$

Subtract 7 from 8 to get 1.

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

Convert 1 to fraction \frac{5}{5}.

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

Since \frac{5}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

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

Add 5 and 2 to get 7.

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

Multiply 3 and -4 to get -12.

$$\frac{7}{5}-\left(-12\right)+\frac{2}{\frac{7}{3}}\times 3$$

The opposite of -12 is 12.

$$\frac{7}{5}+12+\frac{2}{\frac{7}{3}}\times 3$$

Convert 12 to fraction \frac{60}{5}.

$$\frac{7}{5}+\frac{60}{5}+\frac{2}{\frac{7}{3}}\times 3$$

Since \frac{7}{5} and \frac{60}{5} have the same denominator, add them by adding their numerators.

$$\frac{7+60}{5}+\frac{2}{\frac{7}{3}}\times 3$$

Add 7 and 60 to get 67.

$$\frac{67}{5}+\frac{2}{\frac{7}{3}}\times 3$$

Divide 2 by \frac{7}{3} by multiplying 2 by the reciprocal of \frac{7}{3}.

$$\frac{67}{5}+2\times \frac{3}{7}\times 3$$

Express 2\times \frac{3}{7} as a single fraction.

$$\frac{67}{5}+\frac{2\times 3}{7}\times 3$$

Multiply 2 and 3 to get 6.

$$\frac{67}{5}+\frac{6}{7}\times 3$$

Express \frac{6}{7}\times 3 as a single fraction.

$$\frac{67}{5}+\frac{6\times 3}{7}$$

Multiply 6 and 3 to get 18.

$$\frac{67}{5}+\frac{18}{7}$$

Least common multiple of 5 and 7 is 35. Convert \frac{67}{5} and \frac{18}{7} to fractions with denominator 35.

$$\frac{469}{35}+\frac{90}{35}$$

Since \frac{469}{35} and \frac{90}{35} have the same denominator, add them by adding their numerators.

$$\frac{469+90}{35}$$

Add 469 and 90 to get 559.

$$\frac{559}{35}$$

Factor

$$\frac{13 \cdot 43}{5 \cdot 7} = 15\frac{34}{35} = 15.971428571428572$$