Solve 1/4+1/6+120/1=

$$\frac { 1 } { 4 } + \frac { 1 } { 6 } + \frac { 120 } { 1 } =$$

Evaluate

$$\frac{1445}{12}\approx 120.416666667$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{1}{4} and \frac{1}{6} to fractions with denominator 12.

$$\frac{3}{12}+\frac{2}{12}+\frac{120}{1}$$

Since \frac{3}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{12}+\frac{120}{1}$$

Add 3 and 2 to get 5.

$$\frac{5}{12}+\frac{120}{1}$$

Anything divided by one gives itself.

$$\frac{5}{12}+120$$

Convert 120 to fraction \frac{1440}{12}.

$$\frac{5}{12}+\frac{1440}{12}$$

Since \frac{5}{12} and \frac{1440}{12} have the same denominator, add them by adding their numerators.

$$\frac{5+1440}{12}$$

Add 5 and 1440 to get 1445.

$$\frac{1445}{12}$$

Factor

$$\frac{5 \cdot 17 ^ {2}}{2 ^ {2} \cdot 3} = 120\frac{5}{12} = 120.41666666666667$$