Solve 2/3+14/5

$$\frac { 2 } { 3 } + 1 \frac { 4 } { 5 }$$

Evaluate

$$\frac{37}{15}\approx 2.466666667$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{2}{3}+\frac{5+4}{5}$$

Add 5 and 4 to get 9.

$$\frac{2}{3}+\frac{9}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{9}{5} to fractions with denominator 15.

$$\frac{10}{15}+\frac{27}{15}$$

Since \frac{10}{15} and \frac{27}{15} have the same denominator, add them by adding their numerators.

$$\frac{10+27}{15}$$

Add 10 and 27 to get 37.

$$\frac{37}{15}$$

Factor

$$\frac{37}{3 \cdot 5} = 2\frac{7}{15} = 2.466666666666667$$