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

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

Evaluate

$$0.5625$$

Solution Steps

Subtract 0 from 1.5 to get 1.5.

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

Subtract 0 from 2 to get 2.

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

Expand \frac{1.5}{2} by multiplying both numerator and the denominator by 10.

$$\frac{15}{20}\times \frac{1.5-1}{2-1}\times \frac{1.5-3}{2-3}$$

Reduce the fraction \frac{15}{20} to lowest terms by extracting and canceling out 5.

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

Subtract 1 from 1.5 to get 0.5.

$$\frac{3}{4}\times \frac{0.5}{2-1}\times \frac{1.5-3}{2-3}$$

Subtract 1 from 2 to get 1.

$$\frac{3}{4}\times \frac{0.5}{1}\times \frac{1.5-3}{2-3}$$

Anything divided by one gives itself.

$$\frac{3}{4}\times 0.5\times \frac{1.5-3}{2-3}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

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

Multiply \frac{3}{4} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 1}{4\times 2}.

$$\frac{3}{8}\times \frac{1.5-3}{2-3}$$

Subtract 3 from 1.5 to get -1.5.

$$\frac{3}{8}\times \frac{-1.5}{2-3}$$

Subtract 3 from 2 to get -1.

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

Expand \frac{-1.5}{-1} by multiplying both numerator and the denominator by 10.

$$\frac{3}{8}\times \frac{-15}{-10}$$

Reduce the fraction \frac{-15}{-10} to lowest terms by extracting and canceling out -5.

$$\frac{3}{8}\times \frac{3}{2}$$

Multiply \frac{3}{8} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 3}{8\times 2}$$

Do the multiplications in the fraction \frac{3\times 3}{8\times 2}.

$$\frac{9}{16}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {4}} = 0.5625$$