Solve 10/2-2/9div18/5

$$\frac { 10 } { 2 } - \frac { 2 } { 9 } \div \frac { 18 } { 5 }$$

Evaluate

$$\frac{400}{81}\approx 4.938271605$$

Solution Steps

Divide 10 by 2 to get 5.

$$5-\frac{\frac{2}{9}}{\frac{18}{5}}$$

Divide \frac{2}{9} by \frac{18}{5} by multiplying \frac{2}{9} by the reciprocal of \frac{18}{5}.

$$5-\frac{2}{9}\times \frac{5}{18}$$

Multiply \frac{2}{9} times \frac{5}{18} by multiplying numerator times numerator and denominator times denominator.

$$5-\frac{2\times 5}{9\times 18}$$

Do the multiplications in the fraction \frac{2\times 5}{9\times 18}.

$$5-\frac{10}{162}$$

Reduce the fraction \frac{10}{162} to lowest terms by extracting and canceling out 2.

$$5-\frac{5}{81}$$

Convert 5 to fraction \frac{405}{81}.

$$\frac{405}{81}-\frac{5}{81}$$

Since \frac{405}{81} and \frac{5}{81} have the same denominator, subtract them by subtracting their numerators.

$$\frac{405-5}{81}$$

Subtract 5 from 405 to get 400.

$$\frac{400}{81}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {2}}{3 ^ {4}} = 4\frac{76}{81} = 4.938271604938271$$