Solve 4/9*2/9*6/9+6/9*frac{9}{14}=

$$\frac { 4 } { 9 } \times \frac { 2 } { 9 } \times \frac { 6 } { 9 } + \frac { 6 } { 9 } \times \frac { 9 } { 14 } =$$

Evaluate

$$\frac{841}{1701}\approx 0.49441505$$

Solution Steps

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

$$\frac{4\times 2}{9\times 9}\times \frac{6}{9}+\frac{6}{9}\times \frac{9}{14}$$

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

$$\frac{8}{81}\times \frac{6}{9}+\frac{6}{9}\times \frac{9}{14}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{8}{81}\times \frac{2}{3}+\frac{6}{9}\times \frac{9}{14}$$

Multiply \frac{8}{81} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 2}{81\times 3}+\frac{6}{9}\times \frac{9}{14}$$

Do the multiplications in the fraction \frac{8\times 2}{81\times 3}.

$$\frac{16}{243}+\frac{6}{9}\times \frac{9}{14}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{16}{243}+\frac{2}{3}\times \frac{9}{14}$$

Multiply \frac{2}{3} times \frac{9}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16}{243}+\frac{2\times 9}{3\times 14}$$

Do the multiplications in the fraction \frac{2\times 9}{3\times 14}.

$$\frac{16}{243}+\frac{18}{42}$$

Reduce the fraction \frac{18}{42} to lowest terms by extracting and canceling out 6.

$$\frac{16}{243}+\frac{3}{7}$$

Least common multiple of 243 and 7 is 1701. Convert \frac{16}{243} and \frac{3}{7} to fractions with denominator 1701.

$$\frac{112}{1701}+\frac{729}{1701}$$

Since \frac{112}{1701} and \frac{729}{1701} have the same denominator, add them by adding their numerators.

$$\frac{112+729}{1701}$$

Add 112 and 729 to get 841.

$$\frac{841}{1701}$$

Factor

$$\frac{29 ^ {2}}{3 ^ {5} \cdot 7} = 0.49441504997060554$$