Solve 11/2*27/9

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

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 2 and 9 to get 18.

$$\frac{3}{2}\times \frac{18+7}{9}$$

Add 18 and 7 to get 25.

$$\frac{3}{2}\times \frac{25}{9}$$

Multiply \frac{3}{2} times \frac{25}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 25}{2\times 9}$$

Do the multiplications in the fraction \frac{3\times 25}{2\times 9}.

$$\frac{75}{18}$$

Reduce the fraction \frac{75}{18} to lowest terms by extracting and canceling out 3.

$$\frac{25}{6}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$