Solve 7/8-5/2+329

$$\frac{ 7 }{ 8 } - \frac{ 5 }{ 2 } +329$$

Evaluate

$$\frac{2619}{8}=327.375$$

Solution Steps

Least common multiple of 8 and 2 is 8. Convert \frac{7}{8} and \frac{5}{2} to fractions with denominator 8.

$$\frac{7}{8}-\frac{20}{8}+329$$

Since \frac{7}{8} and \frac{20}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-20}{8}+329$$

Subtract 20 from 7 to get -13.

$$-\frac{13}{8}+329$$

Convert 329 to fraction \frac{2632}{8}.

$$-\frac{13}{8}+\frac{2632}{8}$$

Since -\frac{13}{8} and \frac{2632}{8} have the same denominator, add them by adding their numerators.

$$\frac{-13+2632}{8}$$

Add -13 and 2632 to get 2619.

$$\frac{2619}{8}$$

Factor

$$\frac{3 ^ {3} \cdot 97}{2 ^ {3}} = 327\frac{3}{8} = 327.375$$