Solve 23/4*11/9

$$2 \frac { 3 } { 4 } \times 1 \frac { 1 } { 9 }$$

Evaluate

$$\frac{55}{18}\approx 3.055555556$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}\times \frac{1\times 9+1}{9}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}\times \frac{1\times 9+1}{9}$$

Multiply 1 and 9 to get 9.

$$\frac{11}{4}\times \frac{9+1}{9}$$

Add 9 and 1 to get 10.

$$\frac{11}{4}\times \frac{10}{9}$$

Multiply \frac{11}{4} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 10}{4\times 9}$$

Do the multiplications in the fraction \frac{11\times 10}{4\times 9}.

$$\frac{110}{36}$$

Reduce the fraction \frac{110}{36} to lowest terms by extracting and canceling out 2.

$$\frac{55}{18}$$

Factor

$$\frac{5 \cdot 11}{2 \cdot 3 ^ {2}} = 3\frac{1}{18} = 3.0555555555555554$$