Solve 12/3+25/6=

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

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

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

Multiply 2 and 6 to get 12.

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

Add 12 and 5 to get 17.

$$\frac{5}{3}+\frac{17}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{5}{3} and \frac{17}{6} to fractions with denominator 6.

$$\frac{10}{6}+\frac{17}{6}$$

Since \frac{10}{6} and \frac{17}{6} have the same denominator, add them by adding their numerators.

$$\frac{10+17}{6}$$

Add 10 and 17 to get 27.

$$\frac{27}{6}$$

Reduce the fraction \frac{27}{6} to lowest terms by extracting and canceling out 3.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$