Solve 13(5/3)-(-3/4)=

$$13 ( \frac { 5 } { 3 } ) - ( - \frac { 3 } { 4 } ) =$$

Evaluate

$$\frac{269}{12}\approx 22.416666667$$

Solution Steps

Express 13\times \frac{5}{3} as a single fraction.

$$\frac{13\times 5}{3}-\left(-\frac{3}{4}\right)$$

Multiply 13 and 5 to get 65.

$$\frac{65}{3}-\left(-\frac{3}{4}\right)$$

The opposite of -\frac{3}{4} is \frac{3}{4}.

$$\frac{65}{3}+\frac{3}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{65}{3} and \frac{3}{4} to fractions with denominator 12.

$$\frac{260}{12}+\frac{9}{12}$$

Since \frac{260}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{260+9}{12}$$

Add 260 and 9 to get 269.

$$\frac{269}{12}$$

Factor

$$\frac{269}{2 ^ {2} \cdot 3} = 22\frac{5}{12} = 22.416666666666668$$