Solve 57/70-5/14

$$\frac { 57 } { 70 } - \frac { 5 } { 14 }$$

Evaluate

$$\frac{16}{35}\approx 0.457142857$$

Solution Steps

Least common multiple of 70 and 14 is 70. Convert \frac{57}{70} and \frac{5}{14} to fractions with denominator 70.

$$\frac{57}{70}-\frac{25}{70}$$

Since \frac{57}{70} and \frac{25}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57-25}{70}$$

Subtract 25 from 57 to get 32.

$$\frac{32}{70}$$

Reduce the fraction \frac{32}{70} to lowest terms by extracting and canceling out 2.

$$\frac{16}{35}$$

Factor

$$\frac{2 ^ {4}}{5 \cdot 7} = 0.45714285714285713$$