Solve 181/216:1/18:1/21

$$18 \frac { 1 } { 216 } : \frac { 1 } { 18 } : \frac { 1 } { 21 }$$

Evaluate

$$\frac{27223}{4}=6805.75$$

Solution Steps

Divide \frac{\frac{18\times 216+1}{216}}{\frac{1}{18}} by \frac{1}{21} by multiplying \frac{\frac{18\times 216+1}{216}}{\frac{1}{18}} by the reciprocal of \frac{1}{21}.

$$\frac{\frac{18\times 216+1}{216}\times 21}{\frac{1}{18}}$$

Multiply 18 and 216 to get 3888.

$$\frac{\frac{3888+1}{216}\times 21}{\frac{1}{18}}$$

Add 3888 and 1 to get 3889.

$$\frac{\frac{3889}{216}\times 21}{\frac{1}{18}}$$

Express \frac{3889}{216}\times 21 as a single fraction.

$$\frac{\frac{3889\times 21}{216}}{\frac{1}{18}}$$

Multiply 3889 and 21 to get 81669.

$$\frac{\frac{81669}{216}}{\frac{1}{18}}$$

Reduce the fraction \frac{81669}{216} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{27223}{72}}{\frac{1}{18}}$$

Divide \frac{27223}{72} by \frac{1}{18} by multiplying \frac{27223}{72} by the reciprocal of \frac{1}{18}.

$$\frac{27223}{72}\times 18$$

Express \frac{27223}{72}\times 18 as a single fraction.

$$\frac{27223\times 18}{72}$$

Multiply 27223 and 18 to get 490014.

$$\frac{490014}{72}$$

Reduce the fraction \frac{490014}{72} to lowest terms by extracting and canceling out 18.

$$\frac{27223}{4}$$

Factor

$$\frac{7 \cdot 3889}{2 ^ {2}} = 6805\frac{3}{4} = 6805.75$$