Solve (1,25-3/5):1/5

$$( 1,25 - \frac { 3 } { 5 } ) : \frac { 1 } { 5 }$$

Evaluate

$$3,25$$

Solution Steps

Convert decimal number 1,25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{5}{4}-\frac{3}{5}}{\frac{1}{5}}$$

Least common multiple of 4 and 5 is 20. Convert \frac{5}{4} and \frac{3}{5} to fractions with denominator 20.

$$\frac{\frac{25}{20}-\frac{12}{20}}{\frac{1}{5}}$$

Since \frac{25}{20} and \frac{12}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{25-12}{20}}{\frac{1}{5}}$$

Subtract 12 from 25 to get 13.

$$\frac{\frac{13}{20}}{\frac{1}{5}}$$

Divide \frac{13}{20} by \frac{1}{5} by multiplying \frac{13}{20} by the reciprocal of \frac{1}{5}.

$$\frac{13}{20}\times 5$$

Express \frac{13}{20}\times 5 as a single fraction.

$$\frac{13\times 5}{20}$$

Multiply 13 and 5 to get 65.

$$\frac{65}{20}$$

Reduce the fraction \frac{65}{20} to lowest terms by extracting and canceling out 5.

$$\frac{13}{4}$$

Factor

$$\frac{13}{2 ^ {2}} = 3\frac{1}{4} = 3.25$$