Solve 1/12*1/12*3/2-1/12

$$\frac{ 1 }{ 12 } \times \frac{ 1 }{ 12 } \times \frac{ 3 }{ 2 } - \frac{ 1 }{ 12 }$$

Evaluate

$$-\frac{7}{96}\approx -0.072916667$$

Solution Steps

Multiply \frac{1}{12} times \frac{1}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{12\times 12}\times \frac{3}{2}-\frac{1}{12}$$

Do the multiplications in the fraction \frac{1\times 1}{12\times 12}.

$$\frac{1}{144}\times \frac{3}{2}-\frac{1}{12}$$

Multiply \frac{1}{144} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{144\times 2}-\frac{1}{12}$$

Do the multiplications in the fraction \frac{1\times 3}{144\times 2}.

$$\frac{3}{288}-\frac{1}{12}$$

Reduce the fraction \frac{3}{288} to lowest terms by extracting and canceling out 3.

$$\frac{1}{96}-\frac{1}{12}$$

Least common multiple of 96 and 12 is 96. Convert \frac{1}{96} and \frac{1}{12} to fractions with denominator 96.

$$\frac{1}{96}-\frac{8}{96}$$

Since \frac{1}{96} and \frac{8}{96} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-8}{96}$$

Subtract 8 from 1 to get -7.

$$-\frac{7}{96}$$

Factor

$$-\frac{7}{96} = -0.07291666666666667$$