Solve 35/4*11/9div12/3

$$3 \frac { 5 } { 4 } \times 1 \frac { 1 } { 9 } \div 1 \frac { 2 } { 3 }$$

Evaluate

$$\frac{17}{6}\approx 2.833333333$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{\frac{12+5}{4}\times \frac{1\times 9+1}{9}}{\frac{1\times 3+2}{3}}$$

Add 12 and 5 to get 17.

$$\frac{\frac{17}{4}\times \frac{1\times 9+1}{9}}{\frac{1\times 3+2}{3}}$$

Multiply 1 and 9 to get 9.

$$\frac{\frac{17}{4}\times \frac{9+1}{9}}{\frac{1\times 3+2}{3}}$$

Add 9 and 1 to get 10.

$$\frac{\frac{17}{4}\times \frac{10}{9}}{\frac{1\times 3+2}{3}}$$

Multiply \frac{17}{4} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{17\times 10}{4\times 9}}{\frac{1\times 3+2}{3}}$$

Do the multiplications in the fraction \frac{17\times 10}{4\times 9}.

$$\frac{\frac{170}{36}}{\frac{1\times 3+2}{3}}$$

Reduce the fraction \frac{170}{36} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{85}{18}}{\frac{1\times 3+2}{3}}$$

Multiply 1 and 3 to get 3.

$$\frac{\frac{85}{18}}{\frac{3+2}{3}}$$

Add 3 and 2 to get 5.

$$\frac{\frac{85}{18}}{\frac{5}{3}}$$

Divide \frac{85}{18} by \frac{5}{3} by multiplying \frac{85}{18} by the reciprocal of \frac{5}{3}.

$$\frac{85}{18}\times \frac{3}{5}$$

Multiply \frac{85}{18} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{85\times 3}{18\times 5}$$

Do the multiplications in the fraction \frac{85\times 3}{18\times 5}.

$$\frac{255}{90}$$

Reduce the fraction \frac{255}{90} to lowest terms by extracting and canceling out 15.

$$\frac{17}{6}$$

Factor

$$\frac{17}{2 \cdot 3} = 2\frac{5}{6} = 2.8333333333333335$$