Solve [1+1/2/3+4]/5+6

$$\frac { [ \frac { 1 + \frac { 1 } { 2 } } { 3 } + 4 ] } { 5 } + 6$$

Evaluate

$$\frac{69}{10}=6.9$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

$$\frac{\frac{\frac{2}{2}+\frac{1}{2}}{3}+4}{5}+6$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{\frac{2+1}{2}}{3}+4}{5}+6$$

Add 2 and 1 to get 3.

$$\frac{\frac{\frac{3}{2}}{3}+4}{5}+6$$

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

$$\frac{\frac{3}{2\times 3}+4}{5}+6$$

Cancel out 3 in both numerator and denominator.

$$\frac{\frac{1}{2}+4}{5}+6$$

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

$$\frac{\frac{1}{2}+\frac{8}{2}}{5}+6$$

Since \frac{1}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1+8}{2}}{5}+6$$

Add 1 and 8 to get 9.

$$\frac{\frac{9}{2}}{5}+6$$

Express \frac{\frac{9}{2}}{5} as a single fraction.

$$\frac{9}{2\times 5}+6$$

Multiply 2 and 5 to get 10.

$$\frac{9}{10}+6$$

Convert 6 to fraction \frac{60}{10}.

$$\frac{9}{10}+\frac{60}{10}$$

Since \frac{9}{10} and \frac{60}{10} have the same denominator, add them by adding their numerators.

$$\frac{9+60}{10}$$

Add 9 and 60 to get 69.

$$\frac{69}{10}$$

Factor

$$\frac{3 \cdot 23}{2 \cdot 5} = 6\frac{9}{10} = 6.9$$