Solve 61/2-23/7

$$6 \frac { 1 } { 2 } - 2 \frac { 3 } { 7 }$$

Evaluate

$$\frac{57}{14}\approx 4.071428571$$

Solution Steps

Multiply 6 and 2 to get 12.

$$\frac{12+1}{2}-\frac{2\times 7+3}{7}$$

Add 12 and 1 to get 13.

$$\frac{13}{2}-\frac{2\times 7+3}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{13}{2}-\frac{14+3}{7}$$

Add 14 and 3 to get 17.

$$\frac{13}{2}-\frac{17}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{13}{2} and \frac{17}{7} to fractions with denominator 14.

$$\frac{91}{14}-\frac{34}{14}$$

Since \frac{91}{14} and \frac{34}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{91-34}{14}$$

Subtract 34 from 91 to get 57.

$$\frac{57}{14}$$

Factor

$$\frac{3 \cdot 19}{2 \cdot 7} = 4\frac{1}{14} = 4.071428571428571$$