Solve 4/5+7+8/13-44

$$\frac{ 4 }{ 5 } +7+ \frac{ 8 }{ 13 } -44$$

Evaluate

$$-\frac{2313}{65}\approx -35.584615385$$

Solution Steps

Convert 7 to fraction \frac{35}{5}.

$$\frac{4}{5}+\frac{35}{5}+\frac{8}{13}-44$$

Since \frac{4}{5} and \frac{35}{5} have the same denominator, add them by adding their numerators.

$$\frac{4+35}{5}+\frac{8}{13}-44$$

Add 4 and 35 to get 39.

$$\frac{39}{5}+\frac{8}{13}-44$$

Least common multiple of 5 and 13 is 65. Convert \frac{39}{5} and \frac{8}{13} to fractions with denominator 65.

$$\frac{507}{65}+\frac{40}{65}-44$$

Since \frac{507}{65} and \frac{40}{65} have the same denominator, add them by adding their numerators.

$$\frac{507+40}{65}-44$$

Add 507 and 40 to get 547.

$$\frac{547}{65}-44$$

Convert 44 to fraction \frac{2860}{65}.

$$\frac{547}{65}-\frac{2860}{65}$$

Since \frac{547}{65} and \frac{2860}{65} have the same denominator, subtract them by subtracting their numerators.

$$\frac{547-2860}{65}$$

Subtract 2860 from 547 to get -2313.

$$-\frac{2313}{65}$$

Factor

$$-\frac{2313}{65} = -35\frac{38}{65} = -35.58461538461538$$