Solve =49/8+44/6+5

$$= \frac { 49 } { 8 } + \frac { 44 } { 6 } + 5$$

Evaluate

$$\frac{443}{24}\approx 18.458333333$$

Solution Steps

Reduce the fraction \frac{44}{6} to lowest terms by extracting and canceling out 2.

$$\frac{49}{8}+\frac{22}{3}+5$$

Least common multiple of 8 and 3 is 24. Convert \frac{49}{8} and \frac{22}{3} to fractions with denominator 24.

$$\frac{147}{24}+\frac{176}{24}+5$$

Since \frac{147}{24} and \frac{176}{24} have the same denominator, add them by adding their numerators.

$$\frac{147+176}{24}+5$$

Add 147 and 176 to get 323.

$$\frac{323}{24}+5$$

Convert 5 to fraction \frac{120}{24}.

$$\frac{323}{24}+\frac{120}{24}$$

Since \frac{323}{24} and \frac{120}{24} have the same denominator, add them by adding their numerators.

$$\frac{323+120}{24}$$

Add 323 and 120 to get 443.

$$\frac{443}{24}$$

Factor

$$\frac{443}{2 ^ {3} \cdot 3} = 18\frac{11}{24} = 18.458333333333332$$