Solve 2/3+1/3*7/5

$$\frac { 2 } { 3 } + \frac { 1 } { 3 } \times \frac { 7 } { 5 }$$

Evaluate

$$\frac{17}{15}\approx 1.133333333$$

Solution Steps

Multiply \frac{1}{3} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{3}+\frac{1\times 7}{3\times 5}$$

Do the multiplications in the fraction \frac{1\times 7}{3\times 5}.

$$\frac{2}{3}+\frac{7}{15}$$

Least common multiple of 3 and 15 is 15. Convert \frac{2}{3} and \frac{7}{15} to fractions with denominator 15.

$$\frac{10}{15}+\frac{7}{15}$$

Since \frac{10}{15} and \frac{7}{15} have the same denominator, add them by adding their numerators.

$$\frac{10+7}{15}$$

Add 10 and 7 to get 17.

$$\frac{17}{15}$$

Factor

$$\frac{17}{3 \cdot 5} = 1\frac{2}{15} = 1.1333333333333333$$