Solve 2/5div2+7/30

$$\frac { 2 } { 5 } \div 2 + \frac { 7 } { 30 }$$

Evaluate

$$\frac{13}{30}\approx 0.433333333$$

Solution Steps

Express \frac{\frac{2}{5}}{2} as a single fraction.

$$\frac{2}{5\times 2}+\frac{7}{30}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1}{5}+\frac{7}{30}$$

Least common multiple of 5 and 30 is 30. Convert \frac{1}{5} and \frac{7}{30} to fractions with denominator 30.

$$\frac{6}{30}+\frac{7}{30}$$

Since \frac{6}{30} and \frac{7}{30} have the same denominator, add them by adding their numerators.

$$\frac{6+7}{30}$$

Add 6 and 7 to get 13.

$$\frac{13}{30}$$

Factor

$$\frac{13}{2 \cdot 3 \cdot 5} = 0.43333333333333335$$