Solve 1/30+1/4/90

$$\frac { \frac { 1 } { 30 } + \frac { 1 } { 4 } } { 90 }$$

Evaluate

$$\frac{17}{5400}\approx 0.003148148$$

Solution Steps

Least common multiple of 30 and 4 is 60. Convert \frac{1}{30} and \frac{1}{4} to fractions with denominator 60.

$$\frac{\frac{2}{60}+\frac{15}{60}}{90}$$

Since \frac{2}{60} and \frac{15}{60} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2+15}{60}}{90}$$

Add 2 and 15 to get 17.

$$\frac{\frac{17}{60}}{90}$$

Express \frac{\frac{17}{60}}{90} as a single fraction.

$$\frac{17}{60\times 90}$$

Multiply 60 and 90 to get 5400.

$$\frac{17}{5400}$$

Factor

$$\frac{17}{2 ^ {3} \cdot 3 ^ {3} \cdot 5 ^ {2}} = 0.003148148148148148$$