Solve 7/38-16/34

$$\frac { 7 } { 38 } - \frac { 16 } { 34 }$$

Evaluate

$$-\frac{185}{646}\approx -0.286377709$$

Solution Steps

Reduce the fraction \frac{16}{34} to lowest terms by extracting and canceling out 2.

$$\frac{7}{38}-\frac{8}{17}$$

Least common multiple of 38 and 17 is 646. Convert \frac{7}{38} and \frac{8}{17} to fractions with denominator 646.

$$\frac{119}{646}-\frac{304}{646}$$

Since \frac{119}{646} and \frac{304}{646} have the same denominator, subtract them by subtracting their numerators.

$$\frac{119-304}{646}$$

Subtract 304 from 119 to get -185.

$$-\frac{185}{646}$$

Factor

$$-\frac{185}{646} = -0.28637770897832815$$