Solve (-15/6)-(-21/4)

$$( - 1 \frac { 5 } { 6 } ) - ( - 2 \frac { 1 } { 4 } )$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Multiply 1 and 6 to get 6.

$$-\frac{6+5}{6}-\left(-\frac{2\times 4+1}{4}\right)$$

Add 6 and 5 to get 11.

$$-\frac{11}{6}-\left(-\frac{2\times 4+1}{4}\right)$$

Multiply 2 and 4 to get 8.

$$-\frac{11}{6}-\left(-\frac{8+1}{4}\right)$$

Add 8 and 1 to get 9.

$$-\frac{11}{6}-\left(-\frac{9}{4}\right)$$

The opposite of -\frac{9}{4} is \frac{9}{4}.

$$-\frac{11}{6}+\frac{9}{4}$$

Least common multiple of 6 and 4 is 12. Convert -\frac{11}{6} and \frac{9}{4} to fractions with denominator 12.

$$-\frac{22}{12}+\frac{27}{12}$$

Since -\frac{22}{12} and \frac{27}{12} have the same denominator, add them by adding their numerators.

$$\frac{-22+27}{12}$$

Add -22 and 27 to get 5.

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

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$