Solve -13/4+1/9

$$- 1 \frac { 3 } { 4 } + \frac { 1 } { 9 }$$

Evaluate

$$-\frac{59}{36}\approx -1.638888889$$

Solution Steps

Multiply 1 and 4 to get 4.

$$-\frac{4+3}{4}+\frac{1}{9}$$

Add 4 and 3 to get 7.

$$-\frac{7}{4}+\frac{1}{9}$$

Least common multiple of 4 and 9 is 36. Convert -\frac{7}{4} and \frac{1}{9} to fractions with denominator 36.

$$-\frac{63}{36}+\frac{4}{36}$$

Since -\frac{63}{36} and \frac{4}{36} have the same denominator, add them by adding their numerators.

$$\frac{-63+4}{36}$$

Add -63 and 4 to get -59.

$$-\frac{59}{36}$$

Factor

$$-\frac{59}{36} = -1\frac{23}{36} = -1.6388888888888888$$