Solve 10/12+45/4

$$\frac { 10 } { 12 } + \frac { 45 } { 4 }$$

Evaluate

$$\frac{145}{12}\approx 12.083333333$$

Solution Steps

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

$$\frac{5}{6}+\frac{45}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{45}{4} to fractions with denominator 12.

$$\frac{10}{12}+\frac{135}{12}$$

Since \frac{10}{12} and \frac{135}{12} have the same denominator, add them by adding their numerators.

$$\frac{10+135}{12}$$

Add 10 and 135 to get 145.

$$\frac{145}{12}$$

Factor

$$\frac{5 \cdot 29}{2 ^ {2} \cdot 3} = 12\frac{1}{12} = 12.083333333333334$$