Solve 1/120x-2/24-2/6-2/2-2

$$\frac { 1 } { 120 } x - \frac { 2 } { 24 } - \frac { 2 } { 6 } - \frac { 2 } { 2 } - 2$$

Evaluate

$$\frac{x-410}{120}$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{1}{120}x-\frac{2}{24}-\frac{2}{6}-1-2$$

Reduce the fraction \frac{2}{24} to lowest terms by extracting and canceling out 2.

$$\frac{1}{120}x-\frac{1}{12}-\frac{2}{6}-1-2$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{120}x-\frac{1}{12}-\frac{1}{3}-1-2$$

Least common multiple of 12 and 3 is 12. Convert -\frac{1}{12} and \frac{1}{3} to fractions with denominator 12.

$$\frac{1}{120}x-\frac{1}{12}-\frac{4}{12}-1-2$$

Since -\frac{1}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{120}x+\frac{-1-4}{12}-1-2$$

Subtract 4 from -1 to get -5.

$$\frac{1}{120}x-\frac{5}{12}-1-2$$

Convert 1 to fraction \frac{12}{12}.

$$\frac{1}{120}x-\frac{5}{12}-\frac{12}{12}-2$$

Since -\frac{5}{12} and \frac{12}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{120}x+\frac{-5-12}{12}-2$$

Subtract 12 from -5 to get -17.

$$\frac{1}{120}x-\frac{17}{12}-2$$

Convert 2 to fraction \frac{24}{12}.

$$\frac{1}{120}x-\frac{17}{12}-\frac{24}{12}$$

Since -\frac{17}{12} and \frac{24}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{120}x+\frac{-17-24}{12}$$

Subtract 24 from -17 to get -41.

$$\frac{1}{120}x-\frac{41}{12}$$

Factor

$$\frac{x-410}{120}$$

Solution Steps

Factor out \frac{1}{120}.

$$\frac{x-410}{120}$$

Consider x-10-40-120-240. Multiply and combine like terms.

$$x-410$$

Rewrite the complete factored expression.

$$\frac{x-410}{120}$$