Solve 1/2+49/22

$$\frac{ 1 }{ 2 } +4 \frac{ 9 }{ 22 }$$

Evaluate

$$\frac{54}{11}\approx 4.909090909$$

Solution Steps

Multiply 4 and 22 to get 88.

$$\frac{1}{2}+\frac{88+9}{22}$$

Add 88 and 9 to get 97.

$$\frac{1}{2}+\frac{97}{22}$$

Least common multiple of 2 and 22 is 22. Convert \frac{1}{2} and \frac{97}{22} to fractions with denominator 22.

$$\frac{11}{22}+\frac{97}{22}$$

Since \frac{11}{22} and \frac{97}{22} have the same denominator, add them by adding their numerators.

$$\frac{11+97}{22}$$

Add 11 and 97 to get 108.

$$\frac{108}{22}$$

Reduce the fraction \frac{108}{22} to lowest terms by extracting and canceling out 2.

$$\frac{54}{11}$$

Factor

$$\frac{2 \cdot 3 ^ {3}}{11} = 4\frac{10}{11} = 4.909090909090909$$