Solve (4-1/4)*(5-1/5)div1/18

$$( 4 - \frac { 1 } { 4 } ) \times ( 5 - \frac { 1 } { 5 } ) \div \frac { 1 } { 18 }$$

Evaluate

$$324$$

Solution Steps

Convert 4 to fraction \frac{16}{4}.

$$\frac{\left(\frac{16}{4}-\frac{1}{4}\right)\left(5-\frac{1}{5}\right)}{\frac{1}{18}}$$

Since \frac{16}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{16-1}{4}\left(5-\frac{1}{5}\right)}{\frac{1}{18}}$$

Subtract 1 from 16 to get 15.

$$\frac{\frac{15}{4}\left(5-\frac{1}{5}\right)}{\frac{1}{18}}$$

Convert 5 to fraction \frac{25}{5}.

$$\frac{\frac{15}{4}\left(\frac{25}{5}-\frac{1}{5}\right)}{\frac{1}{18}}$$

Since \frac{25}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{15}{4}\times \frac{25-1}{5}}{\frac{1}{18}}$$

Subtract 1 from 25 to get 24.

$$\frac{\frac{15}{4}\times \frac{24}{5}}{\frac{1}{18}}$$

Multiply \frac{15}{4} times \frac{24}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{15\times 24}{4\times 5}}{\frac{1}{18}}$$

Do the multiplications in the fraction \frac{15\times 24}{4\times 5}.

$$\frac{\frac{360}{20}}{\frac{1}{18}}$$

Divide 360 by 20 to get 18.

$$\frac{18}{\frac{1}{18}}$$

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

$$18\times 18$$

Multiply 18 and 18 to get 324.

$$324$$

Factor

$$2^{2}\times 3^{4}$$