Solve {l}{23/10-5/6}{-43/30-3/10}

$$\left. \begin{array} { l } { \frac { 23 } { 10 } - \frac { 5 } { 6 } } \\ { - \frac { 43 } { 30 } - \frac { 3 } { 10 } } \end{array} \right.$$

Evaluate

$$-\frac{4}{15}\approx -0.266666667$$

Solution Steps

Least common multiple of 10 and 6 is 30. Convert \frac{23}{10} and \frac{5}{6} to fractions with denominator 30.

$$\frac{69}{30}-\frac{25}{30}-\frac{43}{30}-\frac{3}{10}$$

Since \frac{69}{30} and \frac{25}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{69-25}{30}-\frac{43}{30}-\frac{3}{10}$$

Subtract 25 from 69 to get 44.

$$\frac{44}{30}-\frac{43}{30}-\frac{3}{10}$$

Since \frac{44}{30} and \frac{43}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{44-43}{30}-\frac{3}{10}$$

Subtract 43 from 44 to get 1.

$$\frac{1}{30}-\frac{3}{10}$$

Least common multiple of 30 and 10 is 30. Convert \frac{1}{30} and \frac{3}{10} to fractions with denominator 30.

$$\frac{1}{30}-\frac{9}{30}$$

Since \frac{1}{30} and \frac{9}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-9}{30}$$

Subtract 9 from 1 to get -8.

$$\frac{-8}{30}$$

Reduce the fraction \frac{-8}{30} to lowest terms by extracting and canceling out 2.

$$-\frac{4}{15}$$

Factor

$$-\frac{4}{15} = -0.26666666666666666$$