Solve 3*(1/5+2/3)+1/3

$$3 \times ( \frac{ 1 }{ 5 } + \frac{ 2 }{ 3 } )+ \frac{ 1 }{ 3 }$$

Evaluate

$$\frac{44}{15}\approx 2.933333333$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{1}{5} and \frac{2}{3} to fractions with denominator 15.

$$3\left(\frac{3}{15}+\frac{10}{15}\right)+\frac{1}{3}$$

Since \frac{3}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$3\times \frac{3+10}{15}+\frac{1}{3}$$

Add 3 and 10 to get 13.

$$3\times \frac{13}{15}+\frac{1}{3}$$

Express 3\times \frac{13}{15} as a single fraction.

$$\frac{3\times 13}{15}+\frac{1}{3}$$

Multiply 3 and 13 to get 39.

$$\frac{39}{15}+\frac{1}{3}$$

Reduce the fraction \frac{39}{15} to lowest terms by extracting and canceling out 3.

$$\frac{13}{5}+\frac{1}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{13}{5} and \frac{1}{3} to fractions with denominator 15.

$$\frac{39}{15}+\frac{5}{15}$$

Since \frac{39}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{39+5}{15}$$

Add 39 and 5 to get 44.

$$\frac{44}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 11}{3 \cdot 5} = 2\frac{14}{15} = 2.933333333333333$$