Solve 28/9*11/2

$$2 \frac{ 8 }{ 9 } \times 1 \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{13}{3}\approx 4.333333333$$

Solution Steps

Multiply 2 and 9 to get 18.

$$\frac{18+8}{9}\times \frac{1\times 2+1}{2}$$

Add 18 and 8 to get 26.

$$\frac{26}{9}\times \frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{26}{9}\times \frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{26}{9}\times \frac{3}{2}$$

Multiply \frac{26}{9} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{26\times 3}{9\times 2}$$

Do the multiplications in the fraction \frac{26\times 3}{9\times 2}.

$$\frac{78}{18}$$

Reduce the fraction \frac{78}{18} to lowest terms by extracting and canceling out 6.

$$\frac{13}{3}$$

Factor

$$\frac{13}{3} = 4\frac{1}{3} = 4.333333333333333$$