Solve 22/3+11/2=

$$2 \frac { 2 } { 3 } + 1 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+2}{3}+\frac{1\times 2+1}{2}$$

Add 6 and 2 to get 8.

$$\frac{8}{3}+\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{8}{3}+\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{8}{3}+\frac{3}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{8}{3} and \frac{3}{2} to fractions with denominator 6.

$$\frac{16}{6}+\frac{9}{6}$$

Since \frac{16}{6} and \frac{9}{6} have the same denominator, add them by adding their numerators.

$$\frac{16+9}{6}$$

Add 16 and 9 to get 25.

$$\frac{25}{6}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$