Solve 3/4+10/12

$$\frac { 3 } { 4 } + \frac { 10 } { 12 }$$

Evaluate

$$\frac{19}{12}\approx 1.583333333$$

Solution Steps

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}+\frac{5}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{9}{12}+\frac{10}{12}$$

Since \frac{9}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{12}$$

Add 9 and 10 to get 19.

$$\frac{19}{12}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 3} = 1\frac{7}{12} = 1.5833333333333333$$