Solve 23/11+9/-11

$$2 \frac { 3 } { 11 } + \frac { 9 } { - 11 }$$

Evaluate

$$\frac{16}{11}\approx 1.454545455$$

Solution Steps

Multiply 2 and 11 to get 22.

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

Add 22 and 3 to get 25.

$$\frac{25}{11}+\frac{9}{-11}$$

Fraction \frac{9}{-11} can be rewritten as -\frac{9}{11} by extracting the negative sign.

$$\frac{25}{11}-\frac{9}{11}$$

Since \frac{25}{11} and \frac{9}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-9}{11}$$

Subtract 9 from 25 to get 16.

$$\frac{16}{11}$$

Factor

$$\frac{2 ^ {4}}{11} = 1\frac{5}{11} = 1.4545454545454546$$