Solve (-29/11)+(-37/22)

$$( - 2 \frac { 9 } { 11 } ) + ( - 3 \frac { 7 } { 22 } )$$

Evaluate

$$-\frac{135}{22}\approx -6.136363636$$

Solution Steps

Multiply 2 and 11 to get 22.

$$-\frac{22+9}{11}-\frac{3\times 22+7}{22}$$

Add 22 and 9 to get 31.

$$-\frac{31}{11}-\frac{3\times 22+7}{22}$$

Multiply 3 and 22 to get 66.

$$-\frac{31}{11}-\frac{66+7}{22}$$

Add 66 and 7 to get 73.

$$-\frac{31}{11}-\frac{73}{22}$$

Least common multiple of 11 and 22 is 22. Convert -\frac{31}{11} and \frac{73}{22} to fractions with denominator 22.

$$-\frac{62}{22}-\frac{73}{22}$$

Since -\frac{62}{22} and \frac{73}{22} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-62-73}{22}$$

Subtract 73 from -62 to get -135.

$$-\frac{135}{22}$$

Factor

$$-\frac{135}{22} = -6\frac{3}{22} = -6.136363636363637$$