Solve (8/15+9/20*2/3)+1/12

$$( \frac { 8 } { 15 } + \frac { 9 } { 20 } \times \frac { 2 } { 3 } ) + \frac { 1 } { 12 }$$

Evaluate

$$\frac{11}{12}\approx 0.916666667$$

Solution Steps

Multiply \frac{9}{20} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8}{15}+\frac{9\times 2}{20\times 3}+\frac{1}{12}$$

Do the multiplications in the fraction \frac{9\times 2}{20\times 3}.

$$\frac{8}{15}+\frac{18}{60}+\frac{1}{12}$$

Reduce the fraction \frac{18}{60} to lowest terms by extracting and canceling out 6.

$$\frac{8}{15}+\frac{3}{10}+\frac{1}{12}$$

Least common multiple of 15 and 10 is 30. Convert \frac{8}{15} and \frac{3}{10} to fractions with denominator 30.

$$\frac{16}{30}+\frac{9}{30}+\frac{1}{12}$$

Since \frac{16}{30} and \frac{9}{30} have the same denominator, add them by adding their numerators.

$$\frac{16+9}{30}+\frac{1}{12}$$

Add 16 and 9 to get 25.

$$\frac{25}{30}+\frac{1}{12}$$

Reduce the fraction \frac{25}{30} to lowest terms by extracting and canceling out 5.

$$\frac{5}{6}+\frac{1}{12}$$

Least common multiple of 6 and 12 is 12. Convert \frac{5}{6} and \frac{1}{12} to fractions with denominator 12.

$$\frac{10}{12}+\frac{1}{12}$$

Since \frac{10}{12} and \frac{1}{12} have the same denominator, add them by adding their numerators.

$$\frac{10+1}{12}$$

Add 10 and 1 to get 11.

$$\frac{11}{12}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 3} = 0.9166666666666666$$