Solve 11/2+25/6

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

Evaluate

$$\frac{13}{3}\approx 4.333333333$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 2 and 6 to get 12.

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

Add 12 and 5 to get 17.

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

Least common multiple of 2 and 6 is 6. Convert \frac{3}{2} and \frac{17}{6} to fractions with denominator 6.

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

Since \frac{9}{6} and \frac{17}{6} have the same denominator, add them by adding their numerators.

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

Add 9 and 17 to get 26.

$$\frac{26}{6}$$

Reduce the fraction \frac{26}{6} to lowest terms by extracting and canceling out 2.

$$\frac{13}{3}$$

Factor

$$\frac{13}{3} = 4\frac{1}{3} = 4.333333333333333$$