Solve 3/4+35/12

$$\frac { 3 } { 4 } + 3 \frac { 5 } { 12 }$$

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{3}{4}+\frac{36+5}{12}$$

Add 36 and 5 to get 41.

$$\frac{3}{4}+\frac{41}{12}$$

Least common multiple of 4 and 12 is 12. Convert \frac{3}{4} and \frac{41}{12} to fractions with denominator 12.

$$\frac{9}{12}+\frac{41}{12}$$

Since \frac{9}{12} and \frac{41}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+41}{12}$$

Add 9 and 41 to get 50.

$$\frac{50}{12}$$

Reduce the fraction \frac{50}{12} to lowest terms by extracting and canceling out 2.

$$\frac{25}{6}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$