Solve (5/3-2/8)+4

$$( 5 / 3 - 2 / 8 ) + 4$$

Evaluate

$$\frac{65}{12}\approx 5.416666667$$

Solution Steps

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}-\frac{1}{4}+4$$

Least common multiple of 3 and 4 is 12. Convert \frac{5}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{20}{12}-\frac{3}{12}+4$$

Since \frac{20}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-3}{12}+4$$

Subtract 3 from 20 to get 17.

$$\frac{17}{12}+4$$

Convert 4 to fraction \frac{48}{12}.

$$\frac{17}{12}+\frac{48}{12}$$

Since \frac{17}{12} and \frac{48}{12} have the same denominator, add them by adding their numerators.

$$\frac{17+48}{12}$$

Add 17 and 48 to get 65.

$$\frac{65}{12}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {2} \cdot 3} = 5\frac{5}{12} = 5.416666666666667$$