Solve -7/5++112/11

$$- \frac{ 7 }{ 5 } ++1 \frac{ 12 }{ 11 }$$

Evaluate

$$\frac{38}{55}\approx 0.690909091$$

Solution Steps

Multiply 1 and 11 to get 11.

$$-\frac{7}{5}+\frac{11+12}{11}$$

Add 11 and 12 to get 23.

$$-\frac{7}{5}+\frac{23}{11}$$

Least common multiple of 5 and 11 is 55. Convert -\frac{7}{5} and \frac{23}{11} to fractions with denominator 55.

$$-\frac{77}{55}+\frac{115}{55}$$

Since -\frac{77}{55} and \frac{115}{55} have the same denominator, add them by adding their numerators.

$$\frac{-77+115}{55}$$

Add -77 and 115 to get 38.

$$\frac{38}{55}$$

Factor

$$\frac{2 \cdot 19}{5 \cdot 11} = 0.6909090909090909$$