Solve 1/2*13/5*27/9

$$\frac{ 1 }{ 2 } \times 1 \frac { 3 } { 5 } \times 2 \frac { 7 } { 9 }$$

Evaluate

$$\frac{20}{9}\approx 2.222222222$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{1}{2}\times \frac{5+3}{5}\times \frac{2\times 9+7}{9}$$

Add 5 and 3 to get 8.

$$\frac{1}{2}\times \frac{8}{5}\times \frac{2\times 9+7}{9}$$

Multiply \frac{1}{2} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 8}{2\times 5}\times \frac{2\times 9+7}{9}$$

Do the multiplications in the fraction \frac{1\times 8}{2\times 5}.

$$\frac{8}{10}\times \frac{2\times 9+7}{9}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}\times \frac{2\times 9+7}{9}$$

Multiply 2 and 9 to get 18.

$$\frac{4}{5}\times \frac{18+7}{9}$$

Add 18 and 7 to get 25.

$$\frac{4}{5}\times \frac{25}{9}$$

Multiply \frac{4}{5} times \frac{25}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 25}{5\times 9}$$

Do the multiplications in the fraction \frac{4\times 25}{5\times 9}.

$$\frac{100}{45}$$

Reduce the fraction \frac{100}{45} to lowest terms by extracting and canceling out 5.

$$\frac{20}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 ^ {2}} = 2\frac{2}{9} = 2.2222222222222223$$