Solve 49-3/2-3/7

$$49 - \frac { 3 } { 2 } - \frac { 3 } { 7 }$$

Evaluate

$$\frac{659}{14}\approx 47.071428571$$

Solution Steps

Convert 49 to fraction \frac{98}{2}.

$$\frac{98}{2}-\frac{3}{2}-\frac{3}{7}$$

Since \frac{98}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{98-3}{2}-\frac{3}{7}$$

Subtract 3 from 98 to get 95.

$$\frac{95}{2}-\frac{3}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{95}{2} and \frac{3}{7} to fractions with denominator 14.

$$\frac{665}{14}-\frac{6}{14}$$

Since \frac{665}{14} and \frac{6}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{665-6}{14}$$

Subtract 6 from 665 to get 659.

$$\frac{659}{14}$$

Factor

$$\frac{659}{2 \cdot 7} = 47\frac{1}{14} = 47.07142857142857$$