Solve 52/3-1/4

$$5 \frac { 2 } { 3 } - \frac { 1 } { 4 }$$

Evaluate

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

Solution Steps

Multiply 5 and 3 to get 15.

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

Add 15 and 2 to get 17.

$$\frac{17}{3}-\frac{1}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{17}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{68}{12}-\frac{3}{12}$$

Since \frac{68}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{68-3}{12}$$

Subtract 3 from 68 to get 65.

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

Factor

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