Solve 23/4div11/3

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

Evaluate

$$\frac{33}{16}=2.0625$$

Solution Steps

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

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

Multiply 2 and 4 to get 8.

$$\frac{\left(8+3\right)\times 3}{4\left(1\times 3+1\right)}$$

Add 8 and 3 to get 11.

$$\frac{11\times 3}{4\left(1\times 3+1\right)}$$

Multiply 11 and 3 to get 33.

$$\frac{33}{4\left(1\times 3+1\right)}$$

Multiply 1 and 3 to get 3.

$$\frac{33}{4\left(3+1\right)}$$

Add 3 and 1 to get 4.

$$\frac{33}{4\times 4}$$

Multiply 4 and 4 to get 16.

$$\frac{33}{16}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {4}} = 2\frac{1}{16} = 2.0625$$