Solve {l}{(2+3)+(5/4)}{-(13div17)}

$$\left. \begin{array} { l } { ( 2 + 3 ) + ( 5 / 4 ) } \\ { - ( 13 \div 17 ) } \end{array} \right.$$

Evaluate

$$\frac{373}{68}\approx 5.485294118$$

Solution Steps

Add 2 and 3 to get 5.

$$5+\frac{5}{4}-\frac{13}{17}$$

Convert 5 to fraction \frac{20}{4}.

$$\frac{20}{4}+\frac{5}{4}-\frac{13}{17}$$

Since \frac{20}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{20+5}{4}-\frac{13}{17}$$

Add 20 and 5 to get 25.

$$\frac{25}{4}-\frac{13}{17}$$

Least common multiple of 4 and 17 is 68. Convert \frac{25}{4} and \frac{13}{17} to fractions with denominator 68.

$$\frac{425}{68}-\frac{52}{68}$$

Since \frac{425}{68} and \frac{52}{68} have the same denominator, subtract them by subtracting their numerators.

$$\frac{425-52}{68}$$

Subtract 52 from 425 to get 373.

$$\frac{373}{68}$$

Factor

$$\frac{373}{2 ^ {2} \cdot 17} = 5\frac{33}{68} = 5.485294117647059$$