Solve 14/5+2/3=

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

Evaluate

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

Solution Steps

Multiply 1 and 5 to get 5.

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

Add 5 and 4 to get 9.

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

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

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

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

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

Add 27 and 10 to get 37.

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

Factor

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