Solve 41/4-12/3=

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

Evaluate

$$\frac{31}{12}\approx 2.583333333$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+1}{4}-\frac{1\times 3+2}{3}$$

Add 16 and 1 to get 17.

$$\frac{17}{4}-\frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{17}{4}-\frac{3+2}{3}$$

Add 3 and 2 to get 5.

$$\frac{17}{4}-\frac{5}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{17}{4} and \frac{5}{3} to fractions with denominator 12.

$$\frac{51}{12}-\frac{20}{12}$$

Since \frac{51}{12} and \frac{20}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-20}{12}$$

Subtract 20 from 51 to get 31.

$$\frac{31}{12}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 3} = 2\frac{7}{12} = 2.5833333333333335$$