Solve 6*(2/18+7/30)

$$6 \times ( \frac { 2 } { 18 } + \frac { 7 } { 30 } )$$

Evaluate

$$\frac{31}{15}\approx 2.066666667$$

Solution Steps

Reduce the fraction \frac{2}{18} to lowest terms by extracting and canceling out 2.

$$6\left(\frac{1}{9}+\frac{7}{30}\right)$$

Least common multiple of 9 and 30 is 90. Convert \frac{1}{9} and \frac{7}{30} to fractions with denominator 90.

$$6\left(\frac{10}{90}+\frac{21}{90}\right)$$

Since \frac{10}{90} and \frac{21}{90} have the same denominator, add them by adding their numerators.

$$6\times \frac{10+21}{90}$$

Add 10 and 21 to get 31.

$$6\times \frac{31}{90}$$

Express 6\times \frac{31}{90} as a single fraction.

$$\frac{6\times 31}{90}$$

Multiply 6 and 31 to get 186.

$$\frac{186}{90}$$

Reduce the fraction \frac{186}{90} to lowest terms by extracting and canceling out 6.

$$\frac{31}{15}$$

Factor

$$\frac{31}{3 \cdot 5} = 2\frac{1}{15} = 2.066666666666667$$