Solve 6*1/144-1/12-2

$$6 \times \frac { 1 } { 144 } - \frac { 1 } { 12 } - 2$$

Evaluate

$$-\frac{49}{24}\approx -2.041666667$$

Solution Steps

Multiply 6 and \frac{1}{144} to get \frac{6}{144}.

$$\frac{6}{144}-\frac{1}{12}-2$$

Reduce the fraction \frac{6}{144} to lowest terms by extracting and canceling out 6.

$$\frac{1}{24}-\frac{1}{12}-2$$

Least common multiple of 24 and 12 is 24. Convert \frac{1}{24} and \frac{1}{12} to fractions with denominator 24.

$$\frac{1}{24}-\frac{2}{24}-2$$

Since \frac{1}{24} and \frac{2}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-2}{24}-2$$

Subtract 2 from 1 to get -1.

$$-\frac{1}{24}-2$$

Convert 2 to fraction \frac{48}{24}.

$$-\frac{1}{24}-\frac{48}{24}$$

Since -\frac{1}{24} and \frac{48}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-48}{24}$$

Subtract 48 from -1 to get -49.

$$-\frac{49}{24}$$

Factor

$$-\frac{49}{24} = -2\frac{1}{24} = -2.0416666666666665$$