Solve -21/6-(-61/4)

$$- 2 \frac { 1 } { 6 } - ( - 6 \frac { 1 } { 4 } )$$

Evaluate

$$\frac{49}{12}\approx 4.083333333$$

Solution Steps

Multiply 2 and 6 to get 12.

$$-\frac{12+1}{6}-\left(-\frac{6\times 4+1}{4}\right)$$

Add 12 and 1 to get 13.

$$-\frac{13}{6}-\left(-\frac{6\times 4+1}{4}\right)$$

Multiply 6 and 4 to get 24.

$$-\frac{13}{6}-\left(-\frac{24+1}{4}\right)$$

Add 24 and 1 to get 25.

$$-\frac{13}{6}-\left(-\frac{25}{4}\right)$$

The opposite of -\frac{25}{4} is \frac{25}{4}.

$$-\frac{13}{6}+\frac{25}{4}$$

Least common multiple of 6 and 4 is 12. Convert -\frac{13}{6} and \frac{25}{4} to fractions with denominator 12.

$$-\frac{26}{12}+\frac{75}{12}$$

Since -\frac{26}{12} and \frac{75}{12} have the same denominator, add them by adding their numerators.

$$\frac{-26+75}{12}$$

Add -26 and 75 to get 49.

$$\frac{49}{12}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2} \cdot 3} = 4\frac{1}{12} = 4.083333333333333$$