Solve (1/8-17/140)*25

$$( \frac { 1 } { 8 } - \frac { 17 } { 140 } ) \times 25$$

Evaluate

$$\frac{5}{56}\approx 0.089285714$$

Solution Steps

Least common multiple of 8 and 140 is 280. Convert \frac{1}{8} and \frac{17}{140} to fractions with denominator 280.

$$\left(\frac{35}{280}-\frac{34}{280}\right)\times 25$$

Since \frac{35}{280} and \frac{34}{280} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-34}{280}\times 25$$

Subtract 34 from 35 to get 1.

$$\frac{1}{280}\times 25$$

Multiply \frac{1}{280} and 25 to get \frac{25}{280}.

$$\frac{25}{280}$$

Reduce the fraction \frac{25}{280} to lowest terms by extracting and canceling out 5.

$$\frac{5}{56}$$

Factor

$$\frac{5}{2 ^ {3} \cdot 7} = 0.08928571428571429$$