Solve 4/9*1/2+1/27+16/9*frac{1}{6}

$$\frac { 4 } { 9 } \times \frac { 1 } { 2 } + \frac { 1 } { 27 } + \frac { 16 } { 9 } \times \frac { 1 } { 6 }$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Multiply \frac{4}{9} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 1}{9\times 2}+\frac{1}{27}+\frac{16}{9}\times \frac{1}{6}$$

Do the multiplications in the fraction \frac{4\times 1}{9\times 2}.

$$\frac{4}{18}+\frac{1}{27}+\frac{16}{9}\times \frac{1}{6}$$

Reduce the fraction \frac{4}{18} to lowest terms by extracting and canceling out 2.

$$\frac{2}{9}+\frac{1}{27}+\frac{16}{9}\times \frac{1}{6}$$

Least common multiple of 9 and 27 is 27. Convert \frac{2}{9} and \frac{1}{27} to fractions with denominator 27.

$$\frac{6}{27}+\frac{1}{27}+\frac{16}{9}\times \frac{1}{6}$$

Since \frac{6}{27} and \frac{1}{27} have the same denominator, add them by adding their numerators.

$$\frac{6+1}{27}+\frac{16}{9}\times \frac{1}{6}$$

Add 6 and 1 to get 7.

$$\frac{7}{27}+\frac{16}{9}\times \frac{1}{6}$$

Multiply \frac{16}{9} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{27}+\frac{16\times 1}{9\times 6}$$

Do the multiplications in the fraction \frac{16\times 1}{9\times 6}.

$$\frac{7}{27}+\frac{16}{54}$$

Reduce the fraction \frac{16}{54} to lowest terms by extracting and canceling out 2.

$$\frac{7}{27}+\frac{8}{27}$$

Since \frac{7}{27} and \frac{8}{27} have the same denominator, add them by adding their numerators.

$$\frac{7+8}{27}$$

Add 7 and 8 to get 15.

$$\frac{15}{27}$$

Reduce the fraction \frac{15}{27} to lowest terms by extracting and canceling out 3.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$