Solve 25/6+32/3=

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

Evaluate

$$\frac{13}{2}=6.5$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{12+5}{6}+\frac{3\times 3+2}{3}$$

Add 12 and 5 to get 17.

$$\frac{17}{6}+\frac{3\times 3+2}{3}$$

Multiply 3 and 3 to get 9.

$$\frac{17}{6}+\frac{9+2}{3}$$

Add 9 and 2 to get 11.

$$\frac{17}{6}+\frac{11}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{17}{6} and \frac{11}{3} to fractions with denominator 6.

$$\frac{17}{6}+\frac{22}{6}$$

Since \frac{17}{6} and \frac{22}{6} have the same denominator, add them by adding their numerators.

$$\frac{17+22}{6}$$

Add 17 and 22 to get 39.

$$\frac{39}{6}$$

Reduce the fraction \frac{39}{6} to lowest terms by extracting and canceling out 3.

$$\frac{13}{2}$$

Factor

$$\frac{13}{2} = 6\frac{1}{2} = 6.5$$