Solve 45*(2/3+3/5)

$$45 \times ( \frac { 2 } { 3 } + \frac { 3 } { 5 } )$$

Evaluate

$$57$$

Solution Steps

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

$$45\left(\frac{10}{15}+\frac{9}{15}\right)$$

Since \frac{10}{15} and \frac{9}{15} have the same denominator, add them by adding their numerators.

$$45\times \frac{10+9}{15}$$

Add 10 and 9 to get 19.

$$45\times \frac{19}{15}$$

Express 45\times \frac{19}{15} as a single fraction.

$$\frac{45\times 19}{15}$$

Multiply 45 and 19 to get 855.

$$\frac{855}{15}$$

Divide 855 by 15 to get 57.

$$57$$

Factor

$$3\times 19$$