Solve 21/4div8/21

$$2 \frac { 1 } { 4 } \div \frac { 8 } { 21 }$$

Evaluate

$$\frac{189}{32}=5.90625$$

Solution Steps

Divide \frac{2\times 4+1}{4} by \frac{8}{21} by multiplying \frac{2\times 4+1}{4} by the reciprocal of \frac{8}{21}.

$$\frac{\left(2\times 4+1\right)\times 21}{4\times 8}$$

Multiply 2 and 4 to get 8.

$$\frac{\left(8+1\right)\times 21}{4\times 8}$$

Add 8 and 1 to get 9.

$$\frac{9\times 21}{4\times 8}$$

Multiply 9 and 21 to get 189.

$$\frac{189}{4\times 8}$$

Multiply 4 and 8 to get 32.

$$\frac{189}{32}$$

Factor

$$\frac{3 ^ {3} \cdot 7}{2 ^ {5}} = 5\frac{29}{32} = 5.90625$$