Solve 51/1(1/4-12/2)

$$\frac { 51 } { 1 } ( \frac { 1 } { 4 } - \frac { 12 } { 2 } )$$

Evaluate

$$-\frac{1173}{4}=-293.25$$

Solution Steps

Anything divided by one gives itself.

$$51\left(\frac{1}{4}-\frac{12}{2}\right)$$

Divide 12 by 2 to get 6.

$$51\left(\frac{1}{4}-6\right)$$

Convert 6 to fraction \frac{24}{4}.

$$51\left(\frac{1}{4}-\frac{24}{4}\right)$$

Since \frac{1}{4} and \frac{24}{4} have the same denominator, subtract them by subtracting their numerators.

$$51\times \frac{1-24}{4}$$

Subtract 24 from 1 to get -23.

$$51\left(-\frac{23}{4}\right)$$

Express 51\left(-\frac{23}{4}\right) as a single fraction.

$$\frac{51\left(-23\right)}{4}$$

Multiply 51 and -23 to get -1173.

$$\frac{-1173}{4}$$

Fraction \frac{-1173}{4} can be rewritten as -\frac{1173}{4} by extracting the negative sign.

$$-\frac{1173}{4}$$

Factor

$$-\frac{1173}{4} = -293\frac{1}{4} = -293.25$$