Solve (2/3+1/15)*45

$$( \frac{ 2 }{ 3 } + \frac{ 1 }{ 15 } ) \times 45$$

Evaluate

$$33$$

Solution Steps

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

$$\left(\frac{10}{15}+\frac{1}{15}\right)\times 45$$

Since \frac{10}{15} and \frac{1}{15} have the same denominator, add them by adding their numerators.

$$\frac{10+1}{15}\times 45$$

Add 10 and 1 to get 11.

$$\frac{11}{15}\times 45$$

Express \frac{11}{15}\times 45 as a single fraction.

$$\frac{11\times 45}{15}$$

Multiply 11 and 45 to get 495.

$$\frac{495}{15}$$

Divide 495 by 15 to get 33.

$$33$$

Factor

$$3\times 11$$