Solve (1.5-1)/(0-1)(1.5-2/0-2)(1.5-3/0-3)

$$\frac { ( 1.5 - 1 ) } { ( 0 - 1 ) } ( \frac { 1.5 - 2 } { 0 - 2 } ) ( \frac { 1.5 - 3 } { 0 - 3 } )$$

Evaluate

$$-0.0625$$

Solution Steps

Subtract 1 from 1.5 to get 0.5.

$$\frac{0.5}{0-1}\times \frac{1.5-2}{0-2}\times \frac{1.5-3}{0-3}$$

Subtract 1 from 0 to get -1.

$$\frac{0.5}{-1}\times \frac{1.5-2}{0-2}\times \frac{1.5-3}{0-3}$$

Expand \frac{0.5}{-1} by multiplying both numerator and the denominator by 10.

$$\frac{5}{-10}\times \frac{1.5-2}{0-2}\times \frac{1.5-3}{0-3}$$

Reduce the fraction \frac{5}{-10} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{2}\times \frac{1.5-2}{-2}\times \frac{1.5-3}{-3}$$

Subtract 2 from 1.5 to get -0.5.

$$-\frac{1}{2}\times \frac{-0.5}{-2}\times \frac{1.5-3}{-3}$$

Expand \frac{-0.5}{-2} by multiplying both numerator and the denominator by 10.

$$-\frac{1}{2}\times \frac{-5}{-20}\times \frac{1.5-3}{-3}$$

Reduce the fraction \frac{-5}{-20} to lowest terms by extracting and canceling out -5.

$$-\frac{1}{2}\times \frac{1}{4}\times \frac{1.5-3}{-3}$$

Multiply -\frac{1}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-1}{2\times 4}\times \frac{1.5-3}{0-3}$$

Do the multiplications in the fraction \frac{-1}{2\times 4}.

$$\frac{-1}{8}\times \frac{1.5-3}{0-3}$$

Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

$$-\frac{1}{8}\times \frac{1.5-3}{-3}$$

Subtract 3 from 1.5 to get -1.5.

$$-\frac{1}{8}\times \frac{-1.5}{-3}$$

Expand \frac{-1.5}{-3} by multiplying both numerator and the denominator by 10.

$$-\frac{1}{8}\times \frac{-15}{-30}$$

Reduce the fraction \frac{-15}{-30} to lowest terms by extracting and canceling out -15.

$$-\frac{1}{8}\times \frac{1}{2}$$

Multiply -\frac{1}{8} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-1}{8\times 2}$$

Do the multiplications in the fraction \frac{-1}{8\times 2}.

$$\frac{-1}{16}$$

Fraction \frac{-1}{16} can be rewritten as -\frac{1}{16} by extracting the negative sign.

$$-\frac{1}{16}$$

Factor

$$-0.0625$$