Solve 1/2+3/5*7/18

$$\frac { 1 } { 2 } + \frac { 3 } { 5 } \times \frac { 7 } { 18 }$$

Evaluate

$$\frac{11}{15}\approx 0.733333333$$

Solution Steps

Multiply \frac{3}{5} times \frac{7}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{2}+\frac{3\times 7}{5\times 18}$$

Do the multiplications in the fraction \frac{3\times 7}{5\times 18}.

$$\frac{1}{2}+\frac{21}{90}$$

Reduce the fraction \frac{21}{90} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}+\frac{7}{30}$$

Least common multiple of 2 and 30 is 30. Convert \frac{1}{2} and \frac{7}{30} to fractions with denominator 30.

$$\frac{15}{30}+\frac{7}{30}$$

Since \frac{15}{30} and \frac{7}{30} have the same denominator, add them by adding their numerators.

$$\frac{15+7}{30}$$

Add 15 and 7 to get 22.

$$\frac{22}{30}$$

Reduce the fraction \frac{22}{30} to lowest terms by extracting and canceling out 2.

$$\frac{11}{15}$$

Factor

$$\frac{11}{3 \cdot 5} = 0.7333333333333333$$