Solve (4)(-31/2)-51/4

$$( 4 ) ( - 3 \frac { 1 } { 2 } ) - 5 \frac { 1 } { 4 }$$

Evaluate

$$-\frac{77}{4}=-19.25$$

Solution Steps

Multiply 3 and 2 to get 6.

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

Add 6 and 1 to get 7.

$$4\left(-\frac{7}{2}\right)-\frac{5\times 4+1}{4}$$

Express 4\left(-\frac{7}{2}\right) as a single fraction.

$$\frac{4\left(-7\right)}{2}-\frac{5\times 4+1}{4}$$

Multiply 4 and -7 to get -28.

$$\frac{-28}{2}-\frac{5\times 4+1}{4}$$

Divide -28 by 2 to get -14.

$$-14-\frac{5\times 4+1}{4}$$

Multiply 5 and 4 to get 20.

$$-14-\frac{20+1}{4}$$

Add 20 and 1 to get 21.

$$-14-\frac{21}{4}$$

Convert -14 to fraction -\frac{56}{4}.

$$-\frac{56}{4}-\frac{21}{4}$$

Since -\frac{56}{4} and \frac{21}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-56-21}{4}$$

Subtract 21 from -56 to get -77.

$$-\frac{77}{4}$$

Factor

$$-\frac{77}{4} = -19\frac{1}{4} = -19.25$$