Solve 1-1/16+1/9-4

$$1 - \frac { 1 } { 16 } + \frac { 1 } { 9 } - 4$$

Evaluate

$$-\frac{425}{144}\approx -2.951388889$$

Solution Steps

Convert 1 to fraction \frac{16}{16}.

$$\frac{16}{16}-\frac{1}{16}+\frac{1}{9}-4$$

Since \frac{16}{16} and \frac{1}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-1}{16}+\frac{1}{9}-4$$

Subtract 1 from 16 to get 15.

$$\frac{15}{16}+\frac{1}{9}-4$$

Least common multiple of 16 and 9 is 144. Convert \frac{15}{16} and \frac{1}{9} to fractions with denominator 144.

$$\frac{135}{144}+\frac{16}{144}-4$$

Since \frac{135}{144} and \frac{16}{144} have the same denominator, add them by adding their numerators.

$$\frac{135+16}{144}-4$$

Add 135 and 16 to get 151.

$$\frac{151}{144}-4$$

Convert 4 to fraction \frac{576}{144}.

$$\frac{151}{144}-\frac{576}{144}$$

Since \frac{151}{144} and \frac{576}{144} have the same denominator, subtract them by subtracting their numerators.

$$\frac{151-576}{144}$$

Subtract 576 from 151 to get -425.

$$-\frac{425}{144}$$

Factor

$$-\frac{425}{144} = -2\frac{137}{144} = -2.951388888888889$$