Solve 11/3div21/4

$$1 \frac{ 1 }{ 3 } \div 2 \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{16}{27}\approx 0.592592593$$

Solution Steps

Divide \frac{1\times 3+1}{3} by \frac{2\times 4+1}{4} by multiplying \frac{1\times 3+1}{3} by the reciprocal of \frac{2\times 4+1}{4}.

$$\frac{\left(1\times 3+1\right)\times 4}{3\left(2\times 4+1\right)}$$

Multiply 1 and 3 to get 3.

$$\frac{\left(3+1\right)\times 4}{3\left(2\times 4+1\right)}$$

Add 3 and 1 to get 4.

$$\frac{4\times 4}{3\left(2\times 4+1\right)}$$

Multiply 4 and 4 to get 16.

$$\frac{16}{3\left(2\times 4+1\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{16}{3\left(8+1\right)}$$

Add 8 and 1 to get 9.

$$\frac{16}{3\times 9}$$

Multiply 3 and 9 to get 27.

$$\frac{16}{27}$$

Factor

$$\frac{2 ^ {4}}{3 ^ {3}} = 0.5925925925925926$$