Solve 2:[16div{42-38+2}]12div(24div6)*2+4

$$2 : [ 16 \div \{ 42 - 38 + 2 \} ] 12 \div ( 24 \div 6 ) \times 2 + 4$$

Evaluate

$$\frac{17}{2}=8.5$$

Solution Steps

Divide 2 by \frac{16}{42-38+2} by multiplying 2 by the reciprocal of \frac{16}{42-38+2}.

$$\frac{\frac{2\left(42-38+2\right)}{16}\times 12}{\frac{24}{6}}\times 2+4$$

Subtract 38 from 42 to get 4.

$$\frac{\frac{2\left(4+2\right)}{16}\times 12}{\frac{24}{6}}\times 2+4$$

Add 4 and 2 to get 6.

$$\frac{\frac{2\times 6}{16}\times 12}{\frac{24}{6}}\times 2+4$$

Multiply 2 and 6 to get 12.

$$\frac{\frac{12}{16}\times 12}{\frac{24}{6}}\times 2+4$$

Reduce the fraction \frac{12}{16} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{3}{4}\times 12}{\frac{24}{6}}\times 2+4$$

Express \frac{3}{4}\times 12 as a single fraction.

$$\frac{\frac{3\times 12}{4}}{\frac{24}{6}}\times 2+4$$

Multiply 3 and 12 to get 36.

$$\frac{\frac{36}{4}}{\frac{24}{6}}\times 2+4$$

Divide 36 by 4 to get 9.

$$\frac{9}{\frac{24}{6}}\times 2+4$$

Divide 24 by 6 to get 4.

$$\frac{9}{4}\times 2+4$$

Express \frac{9}{4}\times 2 as a single fraction.

$$\frac{9\times 2}{4}+4$$

Multiply 9 and 2 to get 18.

$$\frac{18}{4}+4$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}+4$$

Convert 4 to fraction \frac{8}{2}.

$$\frac{9}{2}+\frac{8}{2}$$

Since \frac{9}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.

$$\frac{9+8}{2}$$

Add 9 and 8 to get 17.

$$\frac{17}{2}$$

Factor

$$\frac{17}{2} = 8\frac{1}{2} = 8.5$$