Solve 8/167/5-5/2=

$$\frac { 8 } { 16 } \frac { 7 } { 5 } - \frac { 5 } { 2 } =$$

Evaluate

$$-\frac{9}{5}=-1.8$$

Solution Steps

Reduce the fraction \frac{8}{16} to lowest terms by extracting and canceling out 8.

$$\frac{1}{2}\times \frac{7}{5}-\frac{5}{2}$$

Multiply \frac{1}{2} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 7}{2\times 5}-\frac{5}{2}$$

Do the multiplications in the fraction \frac{1\times 7}{2\times 5}.

$$\frac{7}{10}-\frac{5}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{7}{10} and \frac{5}{2} to fractions with denominator 10.

$$\frac{7}{10}-\frac{25}{10}$$

Since \frac{7}{10} and \frac{25}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-25}{10}$$

Subtract 25 from 7 to get -18.

$$\frac{-18}{10}$$

Reduce the fraction \frac{-18}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{5}$$

Factor

$$-\frac{9}{5} = -1\frac{4}{5} = -1.8$$