Solve 73/4-21/3

$$7 \frac { 3 } { 4 } - 2 \frac { 1 } { 3 }$$

Evaluate

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

Solution Steps

Multiply 7 and 4 to get 28.

$$\frac{28+3}{4}-\frac{2\times 3+1}{3}$$

Add 28 and 3 to get 31.

$$\frac{31}{4}-\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{31}{4}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{31}{4}-\frac{7}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{31}{4} and \frac{7}{3} to fractions with denominator 12.

$$\frac{93}{12}-\frac{28}{12}$$

Since \frac{93}{12} and \frac{28}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{93-28}{12}$$

Subtract 28 from 93 to get 65.

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

Factor

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