Solve 15/4-(2+1/3)

$$\frac{ 15 }{ 4 } -(2+ \frac{ 1 }{ 3 } )$$

Evaluate

$$\frac{17}{12}\approx 1.416666667$$

Solution Steps

Convert 2 to fraction \frac{6}{3}.

$$\frac{15}{4}-\left(\frac{6}{3}+\frac{1}{3}\right)$$

Since \frac{6}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{15}{4}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{15}{4}-\frac{7}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{15}{4} and \frac{7}{3} to fractions with denominator 12.

$$\frac{45}{12}-\frac{28}{12}$$

Since \frac{45}{12} and \frac{28}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-28}{12}$$

Subtract 28 from 45 to get 17.

$$\frac{17}{12}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667$$