Solve (1/5+2/3)*11/15=

$$( \frac { 1 } { 5 } + \frac { 2 } { 3 } ) \times 1 \frac { 1 } { 15 } =$$

Evaluate

$$\frac{208}{225}\approx 0.924444444$$

Solution Steps

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

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

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

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

Add 3 and 10 to get 13.

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

Multiply 1 and 15 to get 15.

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

Add 15 and 1 to get 16.

$$\frac{13}{15}\times \frac{16}{15}$$

Multiply \frac{13}{15} times \frac{16}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 16}{15\times 15}$$

Do the multiplications in the fraction \frac{13\times 16}{15\times 15}.

$$\frac{208}{225}$$

Factor

$$\frac{2 ^ {4} \cdot 13}{3 ^ {2} \cdot 5 ^ {2}} = 0.9244444444444444$$