Solve {l}{-5,4-(-6)}{-3/2-11/2}

$$\left. \begin{array} { l } { - 5,4 - ( - 6 ) } \\ { - \frac { 3 } { 2 } - 1 \frac { 1 } { 2 } } \end{array} \right.$$

Evaluate

$$-2,4$$

Solution Steps

The opposite of -6 is 6.

$$-5,4+6-\frac{3}{2}-\frac{1\times 2+1}{2}$$

Add -5,4 and 6 to get 0,6.

$$0,6-\frac{3}{2}-\frac{1\times 2+1}{2}$$

Convert decimal number 0,6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}-\frac{3}{2}-\frac{1\times 2+1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{3}{5} and \frac{3}{2} to fractions with denominator 10.

$$\frac{6}{10}-\frac{15}{10}-\frac{1\times 2+1}{2}$$

Since \frac{6}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-15}{10}-\frac{1\times 2+1}{2}$$

Subtract 15 from 6 to get -9.

$$-\frac{9}{10}-\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$-\frac{9}{10}-\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$-\frac{9}{10}-\frac{3}{2}$$

Least common multiple of 10 and 2 is 10. Convert -\frac{9}{10} and \frac{3}{2} to fractions with denominator 10.

$$-\frac{9}{10}-\frac{15}{10}$$

Since -\frac{9}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-15}{10}$$

Subtract 15 from -9 to get -24.

$$\frac{-24}{10}$$

Reduce the fraction \frac{-24}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{12}{5}$$

Factor

$$-2,4$$