Solve 4/16x-2/9-4/5

$$\frac { 4 } { 16 } x - \frac { 2 } { 9 } - \frac { 4 } { 5 }$$

Evaluate

$$\frac{x}{4}-\frac{46}{45}$$

Solution Steps

Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.

$$\frac{1}{4}x-\frac{2}{9}-\frac{4}{5}$$

Least common multiple of 9 and 5 is 45. Convert -\frac{2}{9} and \frac{4}{5} to fractions with denominator 45.

$$\frac{1}{4}x-\frac{10}{45}-\frac{36}{45}$$

Since -\frac{10}{45} and \frac{36}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{4}x+\frac{-10-36}{45}$$

Subtract 36 from -10 to get -46.

$$\frac{1}{4}x-\frac{46}{45}$$

Factor

$$\frac{45x-184}{180}$$

Solution Steps

Factor out \frac{1}{180}.

$$\frac{45x-184}{180}$$

Consider 45x-40-144. Multiply and combine like terms.

$$45x-184$$

Rewrite the complete factored expression.

$$\frac{45x-184}{180}$$