Solve 10div[3+6div{2+4div2+4-(4div2)}]

$$10 \div [ 3 + 6 \div \{ 2 + 4 \div 2 + 4 - ( 4 \div 2 ) \} ]$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Divide 4 by 2 to get 2.

$$\frac{10}{3+\frac{6}{2+2+4-\frac{4}{2}}}$$

Add 2 and 2 to get 4.

$$\frac{10}{3+\frac{6}{4+4-\frac{4}{2}}}$$

Add 4 and 4 to get 8.

$$\frac{10}{3+\frac{6}{8-\frac{4}{2}}}$$

Divide 4 by 2 to get 2.

$$\frac{10}{3+\frac{6}{8-2}}$$

Subtract 2 from 8 to get 6.

$$\frac{10}{3+\frac{6}{6}}$$

Divide 6 by 6 to get 1.

$$\frac{10}{3+1}$$

Add 3 and 1 to get 4.

$$\frac{10}{4}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$