Solve 56/7-21/2

$$5 \frac{ 6 }{ 7 } -2 \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{47}{14}\approx 3.357142857$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\frac{35+6}{7}-\frac{2\times 2+1}{2}$$

Add 35 and 6 to get 41.

$$\frac{41}{7}-\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{41}{7}-\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{41}{7}-\frac{5}{2}$$

Least common multiple of 7 and 2 is 14. Convert \frac{41}{7} and \frac{5}{2} to fractions with denominator 14.

$$\frac{82}{14}-\frac{35}{14}$$

Since \frac{82}{14} and \frac{35}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{82-35}{14}$$

Subtract 35 from 82 to get 47.

$$\frac{47}{14}$$

Factor

$$\frac{47}{2 \cdot 7} = 3\frac{5}{14} = 3.357142857142857$$