Solve 21/4div2/3

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

Evaluate

$$\frac{27}{8}=3.375$$

Solution Steps

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

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

Multiply 2 and 4 to get 8.

$$\frac{\left(8+1\right)\times 3}{4\times 2}$$

Add 8 and 1 to get 9.

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

Multiply 9 and 3 to get 27.

$$\frac{27}{4\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{27}{8}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3}} = 3\frac{3}{8} = 3.375$$