Solve 4-1/4-1/3

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

Evaluate

$$\frac{41}{12}\approx 3.416666667$$

Solution Steps

Convert 4 to fraction \frac{16}{4}.

$$\frac{16}{4}-\frac{1}{4}-\frac{1}{3}$$

Since \frac{16}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-1}{4}-\frac{1}{3}$$

Subtract 1 from 16 to get 15.

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

Least common multiple of 4 and 3 is 12. Convert \frac{15}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{45}{12}-\frac{4}{12}$$

Since \frac{45}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-4}{12}$$

Subtract 4 from 45 to get 41.

$$\frac{41}{12}$$

Factor

$$\frac{41}{2 ^ {2} \cdot 3} = 3\frac{5}{12} = 3.4166666666666665$$