Solve 25.125-13/5-17.4

$$25.125 - \frac { 13 } { 5 } - 17.4$$

Evaluate

$$5.125$$

Solution Steps

Convert decimal number 25.125 to fraction \frac{25125}{1000}. Reduce the fraction \frac{25125}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{201}{8}-\frac{13}{5}-17.4$$

Least common multiple of 8 and 5 is 40. Convert \frac{201}{8} and \frac{13}{5} to fractions with denominator 40.

$$\frac{1005}{40}-\frac{104}{40}-17.4$$

Since \frac{1005}{40} and \frac{104}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1005-104}{40}-17.4$$

Subtract 104 from 1005 to get 901.

$$\frac{901}{40}-17.4$$

Convert decimal number 17.4 to fraction \frac{174}{10}. Reduce the fraction \frac{174}{10} to lowest terms by extracting and canceling out 2.

$$\frac{901}{40}-\frac{87}{5}$$

Least common multiple of 40 and 5 is 40. Convert \frac{901}{40} and \frac{87}{5} to fractions with denominator 40.

$$\frac{901}{40}-\frac{696}{40}$$

Since \frac{901}{40} and \frac{696}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{901-696}{40}$$

Subtract 696 from 901 to get 205.

$$\frac{205}{40}$$

Reduce the fraction \frac{205}{40} to lowest terms by extracting and canceling out 5.

$$\frac{41}{8}$$

Factor

$$\frac{41}{2 ^ {3}} = 5\frac{1}{8} = 5.125$$