Solve 91/3-63/4

$$9 \frac { 1 } { 3 } - 6 \frac { 3 } { 4 }$$

Evaluate

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

Solution Steps

Multiply 9 and 3 to get 27.

$$\frac{27+1}{3}-\frac{6\times 4+3}{4}$$

Add 27 and 1 to get 28.

$$\frac{28}{3}-\frac{6\times 4+3}{4}$$

Multiply 6 and 4 to get 24.

$$\frac{28}{3}-\frac{24+3}{4}$$

Add 24 and 3 to get 27.

$$\frac{28}{3}-\frac{27}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{28}{3} and \frac{27}{4} to fractions with denominator 12.

$$\frac{112}{12}-\frac{81}{12}$$

Since \frac{112}{12} and \frac{81}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{112-81}{12}$$

Subtract 81 from 112 to get 31.

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

Factor

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