Solve -51/4-41/4

$$- 5 \frac { 1 } { 4 } - 4 \frac { 1 } { 4 }$$

Evaluate

$$-\frac{19}{2}=-9.5$$

Solution Steps

Multiply 5 and 4 to get 20.

$$-\frac{20+1}{4}-\frac{4\times 4+1}{4}$$

Add 20 and 1 to get 21.

$$-\frac{21}{4}-\frac{4\times 4+1}{4}$$

Multiply 4 and 4 to get 16.

$$-\frac{21}{4}-\frac{16+1}{4}$$

Add 16 and 1 to get 17.

$$-\frac{21}{4}-\frac{17}{4}$$

Since -\frac{21}{4} and \frac{17}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-17}{4}$$

Subtract 17 from -21 to get -38.

$$\frac{-38}{4}$$

Reduce the fraction \frac{-38}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{19}{2}$$

Factor

$$-\frac{19}{2} = -9\frac{1}{2} = -9.5$$