Solve 12/3+frac{5{1+2}}

$$\frac { 12 } { 3 + \frac { 5 } { 1 + 2 } }$$

Evaluate

$$\frac{18}{7}\approx 2.571428571$$

Solution Steps

Add 1 and 2 to get 3.

$$\frac{12}{3+\frac{5}{3}}$$

Convert 3 to fraction \frac{9}{3}.

$$\frac{12}{\frac{9}{3}+\frac{5}{3}}$$

Since \frac{9}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

$$\frac{12}{\frac{9+5}{3}}$$

Add 9 and 5 to get 14.

$$\frac{12}{\frac{14}{3}}$$

Divide 12 by \frac{14}{3} by multiplying 12 by the reciprocal of \frac{14}{3}.

$$12\times \frac{3}{14}$$

Express 12\times \frac{3}{14} as a single fraction.

$$\frac{12\times 3}{14}$$

Multiply 12 and 3 to get 36.

$$\frac{36}{14}$$

Reduce the fraction \frac{36}{14} to lowest terms by extracting and canceling out 2.

$$\frac{18}{7}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{7} = 2\frac{4}{7} = 2.5714285714285716$$