Solve -13/4-21/12

$$-1 \frac{ 3 }{ 4 } -2 \frac{ 1 }{ 12 }$$

Evaluate

$$-\frac{23}{6}\approx -3.833333333$$

Solution Steps

Multiply 1 and 4 to get 4.

$$-\frac{4+3}{4}-\frac{2\times 12+1}{12}$$

Add 4 and 3 to get 7.

$$-\frac{7}{4}-\frac{2\times 12+1}{12}$$

Multiply 2 and 12 to get 24.

$$-\frac{7}{4}-\frac{24+1}{12}$$

Add 24 and 1 to get 25.

$$-\frac{7}{4}-\frac{25}{12}$$

Least common multiple of 4 and 12 is 12. Convert -\frac{7}{4} and \frac{25}{12} to fractions with denominator 12.

$$-\frac{21}{12}-\frac{25}{12}$$

Since -\frac{21}{12} and \frac{25}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-25}{12}$$

Subtract 25 from -21 to get -46.

$$\frac{-46}{12}$$

Reduce the fraction \frac{-46}{12} to lowest terms by extracting and canceling out 2.

$$-\frac{23}{6}$$

Factor

$$-\frac{23}{6} = -3\frac{5}{6} = -3.8333333333333335$$