Solve ((3/5)+(2/3))*(15/17)=?

$$( ( 3 / 5 ) + ( 2 / 3 ) ) \times ( 15 / 17 ) = ?$$

Evaluate

$$\frac{19}{17}\approx 1.117647059$$

Solution Steps

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

$$\left(\frac{9}{15}+\frac{10}{15}\right)\times \frac{15}{17}$$

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

$$\frac{9+10}{15}\times \frac{15}{17}$$

Add 9 and 10 to get 19.

$$\frac{19}{15}\times \frac{15}{17}$$

Multiply \frac{19}{15} times \frac{15}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 15}{15\times 17}$$

Cancel out 15 in both numerator and denominator.

$$\frac{19}{17}$$

Factor

$$\frac{19}{17} = 1\frac{2}{17} = 1.1176470588235294$$