Solve 1/9+1/4-1

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

Evaluate

$$-\frac{23}{36}\approx -0.638888889$$

Solution Steps

Least common multiple of 9 and 4 is 36. Convert \frac{1}{9} and \frac{1}{4} to fractions with denominator 36.

$$\frac{4}{36}+\frac{9}{36}-1$$

Since \frac{4}{36} and \frac{9}{36} have the same denominator, add them by adding their numerators.

$$\frac{4+9}{36}-1$$

Add 4 and 9 to get 13.

$$\frac{13}{36}-1$$

Convert 1 to fraction \frac{36}{36}.

$$\frac{13}{36}-\frac{36}{36}$$

Since \frac{13}{36} and \frac{36}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-36}{36}$$

Subtract 36 from 13 to get -23.

$$-\frac{23}{36}$$

Factor

$$-\frac{23}{36} = -0.6388888888888888$$