Solve -1-4/9+1/36

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

Evaluate

$$-\frac{17}{12}\approx -1.416666667$$

Solution Steps

Convert -1 to fraction -\frac{9}{9}.

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

Since -\frac{9}{9} and \frac{4}{9} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from -9 to get -13.

$$-\frac{13}{9}+\frac{1}{36}$$

Least common multiple of 9 and 36 is 36. Convert -\frac{13}{9} and \frac{1}{36} to fractions with denominator 36.

$$-\frac{52}{36}+\frac{1}{36}$$

Since -\frac{52}{36} and \frac{1}{36} have the same denominator, add them by adding their numerators.

$$\frac{-52+1}{36}$$

Add -52 and 1 to get -51.

$$\frac{-51}{36}$$

Reduce the fraction \frac{-51}{36} to lowest terms by extracting and canceling out 3.

$$-\frac{17}{12}$$

Factor

$$-\frac{17}{12} = -1\frac{5}{12} = -1.4166666666666667$$