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

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

Evaluate

$$5$$

Solution Steps

Subtract 1 from 2,5 to get 1,5.

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

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

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

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

$$\frac{1,5}{\frac{8}{10}-\frac{5}{10}}$$

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

$$\frac{1,5}{\frac{8-5}{10}}$$

Subtract 5 from 8 to get 3.

$$\frac{1,5}{\frac{3}{10}}$$

Divide 1,5 by \frac{3}{10} by multiplying 1,5 by the reciprocal of \frac{3}{10}.

$$1,5\times \frac{10}{3}$$

Convert decimal number 1,5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{2}\times \frac{10}{3}$$

Multiply \frac{3}{2} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 10}{2\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$5$$

Factor

$$5$$