Solve -21/4-41/3=

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

Evaluate

$$-\frac{79}{12}\approx -6.583333333$$

Solution Steps

Multiply 2 and 4 to get 8.

$$-\frac{8+1}{4}-\frac{4\times 3+1}{3}$$

Add 8 and 1 to get 9.

$$-\frac{9}{4}-\frac{4\times 3+1}{3}$$

Multiply 4 and 3 to get 12.

$$-\frac{9}{4}-\frac{12+1}{3}$$

Add 12 and 1 to get 13.

$$-\frac{9}{4}-\frac{13}{3}$$

Least common multiple of 4 and 3 is 12. Convert -\frac{9}{4} and \frac{13}{3} to fractions with denominator 12.

$$-\frac{27}{12}-\frac{52}{12}$$

Since -\frac{27}{12} and \frac{52}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-27-52}{12}$$

Subtract 52 from -27 to get -79.

$$-\frac{79}{12}$$

Factor

$$-\frac{79}{12} = -6\frac{7}{12} = -6.583333333333333$$