Solve 22/12+sqrt{25}-1

$$\frac{ 22 }{ 12 } + \sqrt{ 25 } -1$$

Evaluate

$$\frac{35}{6}\approx 5.833333333$$

Solution Steps

Reduce the fraction \frac{22}{12} to lowest terms by extracting and canceling out 2.

$$\frac{11}{6}+\sqrt{25}-1$$

Calculate the square root of 25 and get 5.

$$\frac{11}{6}+5-1$$

Convert 5 to fraction \frac{30}{6}.

$$\frac{11}{6}+\frac{30}{6}-1$$

Since \frac{11}{6} and \frac{30}{6} have the same denominator, add them by adding their numerators.

$$\frac{11+30}{6}-1$$

Add 11 and 30 to get 41.

$$\frac{41}{6}-1$$

Convert 1 to fraction \frac{6}{6}.

$$\frac{41}{6}-\frac{6}{6}$$

Since \frac{41}{6} and \frac{6}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{41-6}{6}$$

Subtract 6 from 41 to get 35.

$$\frac{35}{6}$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3} = 5\frac{5}{6} = 5.833333333333333$$