Solve 2*5-1/frac{4{5}-2/4}

$$\frac{ 2 \cdot 5-1 }{ \frac{ 4 }{ 5 } - \frac{ 2 }{ 4 } }$$

Evaluate

$$30$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10-1}{\frac{4}{5}-\frac{2}{4}}$$

Subtract 1 from 10 to get 9.

$$\frac{9}{\frac{4}{5}-\frac{2}{4}}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{\frac{4}{5}-\frac{1}{2}}$$

Least common multiple of 5 and 2 is 10. Convert \frac{4}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{9}{\frac{8}{10}-\frac{5}{10}}$$

Since \frac{8}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9}{\frac{8-5}{10}}$$

Subtract 5 from 8 to get 3.

$$\frac{9}{\frac{3}{10}}$$

Divide 9 by \frac{3}{10} by multiplying 9 by the reciprocal of \frac{3}{10}.

$$9\times \frac{10}{3}$$

Express 9\times \frac{10}{3} as a single fraction.

$$\frac{9\times 10}{3}$$

Multiply 9 and 10 to get 90.

$$\frac{90}{3}$$

Divide 90 by 3 to get 30.

$$30$$

Factor

$$2\times 3\times 5$$