Solve 49/8+49/6+5

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

Evaluate

$$\frac{463}{24}\approx 19.291666667$$

Solution Steps

Least common multiple of 8 and 6 is 24. Convert \frac{49}{8} and \frac{49}{6} to fractions with denominator 24.

$$\frac{147}{24}+\frac{196}{24}+5$$

Since \frac{147}{24} and \frac{196}{24} have the same denominator, add them by adding their numerators.

$$\frac{147+196}{24}+5$$

Add 147 and 196 to get 343.

$$\frac{343}{24}+5$$

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

$$\frac{343}{24}+\frac{120}{24}$$

Since \frac{343}{24} and \frac{120}{24} have the same denominator, add them by adding their numerators.

$$\frac{343+120}{24}$$

Add 343 and 120 to get 463.

$$\frac{463}{24}$$

Factor

$$\frac{463}{2 ^ {3} \cdot 3} = 19\frac{7}{24} = 19.291666666666668$$